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Contents
DR. NANCY NICHOLS
ALGEBRA AE L E M E N T S O F BAS I C
DR. NANCY NICHOLS
U.S. HISTORYE L E M E N T S O F BAS I C
Proudly Made in the USADR. NANCY NICNICYY HOLSO
Proudly Made in the USA
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EduREALM Math Supplemental Workbooks
• Grades PK–8
• PK Spanish
• Standards Aligned
• TEKS Aligned
• Comprehensive
• Leveled & Systematic
• Research Based
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Supports Math Mastery for Grades PK – 8
Available in hard copy and digital license
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Use the EduREALM MathSupplemental Workbooks in:• General
Education Skills Reinforcement• Statewide Testing Prep• Home Skills
Reinforcement• Response to Intervention• Special Education•
ELL/ESL• Summer School• Intervention
Each level has all 12 strands:Algebra Data Interpretation
Decimals Fractions Functions Geometry Mathematical Process
Measurement Number Theory Numeration Technology Whole Numbers
Standards Aligned(incl Common Core)
TEKS Aligned
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EduREALM Math Mastery Supplemental Series PK-8
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MATHEDUREALM SERIES
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HLEVEL
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ELONGS TO
Available in hard copy and digital license
For more information, or to order online: www.fi
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EDUREALM SAMPLE PAGES
© Copyright Ilegal para copiar www. relightbooks.com 136
Colorea los dibujos.
El sentido numérico El sentido numérico trata de números en la
vida diaria.
Encierra el grupo de que tiene más.
Number Sense � Number sense is about numbers in real life.
Circle the group that has more.
Color the pictures.© Copyright Illegal to copy
www.firelightbooks.com 136
Geometry � Cubes, spheres, and cones are not flat. They take up
space.
Match the objects with the shapes.
© Copyright Illegal to copy www.firelightbooks.com 78
© Copyright Ilegal para copiar www. relightbooks.com 78
La geometría Los cubos, las esferas y los conos no son guras
planas. Son objetos que toman espacio.
Apunta cada objeto con su gura.
pphheres,
oobo je
OK
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ESOURCE
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BELONGS T
O
rata de números en la vida
e más
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MATEMÁTICAS
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UN RECURSO BASADO EN ESTÁNDARES
PKSNIVEL
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EDUREALM SAMPLE PAGES
© Illegal to copy www. relightbooks.com K–142
STRAND: Algebra Readiness
MISSING NUMBERS AND NUMBER SENTENCES
STRAND: Measurement Money
IDENTIFY COINS
Pennies, nickels, dimes, and quarters are coins.
Circle each nickel. Draw an X on each dime.
© Illegal to copy www. relightbooks.com K–44
STRAND: Data Interpretation Readiness
PICTOGRAPHS
A pictograph is a graph that uses pictures or symbols to compare
two or more things.
How many balloons does each child have?
Bo 5
Pam ___
Sam ___
Mari ___
Bo
Pam
Sam
Mari
= 1 balloon
© Illegal to copy www. relightbooks.com K–19
STRAND: Numeration Meaning of Numbers
MEANING OF NUMBERS – THREE
In this lesson, we will find the meaning of the number
three.
three 3Draw three nuts for the squirrel.
© Illegal to copy www. relightbooks.com K–55
A probability states how likely it is that an event will
happen.
STRAND: Data Interpretation Collection
PROBABILITIES
Look in the bucket. Can you take out the following groups of
objects? Circle YES or NO.
1.
YES NO
2.
YES NO
3.
YES NO
4.
YES NO
5.
YES NO
6.
YES NO
Readiness
compare two or more things.
ve?
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EDUREALM SAMPLE PAGES
© Illegal to copy www. relightbooks.com A–161
An addition problem has two or more addends and the sum. In the
addition problem 6 + 3 = 9, the numbers 6 and 3 are the addends.
The number 9 is the sum. You can write addition sentences different
ways. This is the commutative property. When zero is added to a
number, the sum is the number. This is the zero property.
Write the sum for each problem. Draw a line to match each
addition problem with a problem from the same fact family.
STRAND: Whole Numbers Addition
PROPERTIES
Ex: 5 + 8 = _____
1. 3 + 4 = _____
2. 8 + 0 = _____
3. 2 + 6 = _____
4. 5 + 1 = _____
5. 3 + 5 = _____
6. 4 + 2 = _____
7. 6 + 1 = _____
8. 6 + 3 = _____
6 + 2 = _____
8 + 5 = _____
2 + 4 = _____
4 + 3 = _____
0 + 8 = _____
1 + 6 = _____
5 + 3 = _____
1 + 5 = _____
3 + 6 = _____
13
13
STRAND: Algebra Readiness
MISSING NUMBERS AND NUMBER SENTENCES
© Illegal to copy www. relightbooks.com A–43
The line segments that make up a figure are the sides. Corners
are where two sides meet.
Count the number of sides and corners in each figure. Fill inthe
blanks.
STRAND: Geometry Concepts
SIDES AND CORNERS
Ex:
1.
2.
3.
4.
_____ sides _____ corners
_____ sides _____ corners
_____ sides _____ corners
_____ sides _____ corners
_____ sides _____ corners
3 3
A tally chart is used to record data.
Draw a tally mark for each picture.
© Illegal to copy www. relightbooks.com A–24
STRAND: Algebra Readiness
MISSING NUMBERS AND NUMBER SENTENCES
STRAND: Data Interpretation Collection
TALLY CHARTS
© Illegal to copy www. relightbooks.com A–127
1.
2.
3.
4.
5.
In this lesson, we will find patterns with objects, symbols, and
geometric figures.
Find each pattern. Draw the shape that should come next.
STRAND: Numeration Patterns
WITH OBJECTS/GEOMETRIC FIGURES
Example
A tally chart is used to record dat
Draw a tally mark for ea
STRAND: Data Interpretation
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EDUREALM SAMPLE PAGES
© Illegal to copy www. relightbooks.com B–37
STRAND: Geometry Concepts
LINES – SYMMETRY
A line of symmetry divides a figure into identical parts.
Draw lines of symmetry.Example
1.
4.
7.
10.
2.
5.
8.
11.
3.
6.
9.
12.
STRAND: Algebra Readiness
MISSING NUMBERS AND NUMBER SENTENCES
© Illegal to copy www. relightbooks.com B–11
STRAND: Algebra Operations
WRITING EQUATIONS
In this lesson, we will write and solve equations.
Write and solve equations.
Example
You have a number. Add 9 to get 10?
n + 9 = 10 n = 1
1. You have a number. Add 5 to get 13. __________ n = ____
2. You have a number. Add 6 to get 12. __________ n = ____
3. You have a number. Add 14 to get 24. __________ n = ____
4. You have 18. Subtract a number to get 13. __________ n =
____
5. You have 10. Subtract a number to get 2. __________ n =
____
6. You have a number. Add 10 to get 20. __________ n = ____
7. You have 13. Subtract a number to get 4. __________ n =
____
Solve each equation.
8. 5 + n = 12
n = _______
9. 14 + n = 18
n = _______
10. 2 – n = 0
n = _______
11. n – 2 = 3
n = _______
12. n – 5 = 5
n = _______
13. n – 5 = 10
n = _______
14. n + 10 = 11
n = _______
15. n + 5 = 13
n = _______
16. n + 6 = 15
n = _______
________ __
STRAND: Algebra Readiness
MISSING NUMBERS AND NUMBER SENTENCES
© Illegal to copy www. relightbooks.com B–9
STRAND: Algebra Readiness
NUMBER LINE – WHOLE NUMBERS
In this lesson, we will use the number line to solve problems
with whole numbers.
Use the number line to solve each problem.
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
Ex: 15 + 4 = _____
1. 16 + 5 = _____
2. 15 + 7 = _____
3. 14 + 2 = _____
4. 12 + 3 = _____
5. 15 + 2 = _____
6. 17 + 2 = _____
7. 19 + 1 = _____
8. 8 + 9 = _____
9. 13 + 3 = _____
10. 15 + 5 = _____
11. 16 + 4 = _____
Apply what you know.
12. Nine children boarded the bus at the first stop and eight
children at the second stop. How many children boarded the bus at
the two stops?
_____ + _____ = _____
19
STRAND: Algebra Readiness
MISSING NUMBERS AND NUMBER SENTENCES
© Illegal to copy www. relightbooks.com B–11
STRAND: Algebra Operations
WRITING EQUATIONS
In this lesson, we will write and solve equations.
Write and solve equations.
Example
You have a number. Add 9 to get 10?
n + 9 = 10 n = 1
1. You have a number. Add 5 to get 13. __________ n = ____
2. You have a number. Add 6 to get 12. __________ n = ____
3. You have a number. Add 14 to get 24. __________ n = ____
4. You have 18. Subtract a number to get 13. __________ n =
____
5. You have 10. Subtract a number to get 2. __________ n =
____
6. You have a number. Add 10 to get 20. __________ n = ____
7. You have 13. Subtract a number to get 4. __________ n =
____
Solve each equation.
8. 5 + n = 12
n = _______
9. 14 + n = 18
n = _______
10. 2 – n = 0
n = _______
11. n – 2 = 3
n = _______
12. n – 5 = 5
n = _______
13. n – 5 = 10
n = _______
14. n + 10 = 11
n = _______
15. n + 5 = 13
n = _______
16. n + 6 = 15
n = _______
________ __
Operations
NS
to get 10?
1
______ n = ____n
______ n = ____n
_
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EDUREALM SAMPLE PAGES
© Illegal to copy www. relightbooks.com C–95
STRAND: Measurement Temperature
FAHRENHEIT
Temperature describes how hot or cold something is. Thermometers
measures temperature. Fahrenheit is a measure of temperature using
a scale on which water boils at 212 degrees and freezes at 32
degrees.
Shade each thermometer to show the correct degrees
Fahrenheit.
Apply what you know.
When Sarah left her house in the morning, the temperature was
57°F. When she arrived home in the afternoon, the thermometer on
her front porch read 74°F.
5. What was the increase in temperature?
__________________________
6. Do you think Sarah needed to wear a coat in the afternoon?
Explain.
____________________________________________________________________________________________________________________
Example
30° F
1. 2. 3. 4.
55°F 80°F 15°F –10°F
© Illegal to copy www. relightbooks.com C–27
STRAND: Decimals Concepts
MEANING OF DECIMALS
A decimal is a number with one or more digits to the right of a
decimal point. The decimal point is a dot placed between the ones
place and the tenths place.
Draw a line from each decimal to its word name.
1. 5.6 three and two tenths
2. 12.5 eight and seven tenths
3. 3.2 five and six tenths
4. 7.4 eighteen and three tenths
5. 10.4 seven and four tenths
6. 18.3 twelve and five tenths
7. 8.7 ten and four tenths
8. 0.5 five tenths
9. 2.5 six and three tenths
10. 11.2 twenty-two and five tenths
11. 8.9 eight and nine tenths
12. 6.3 twenty and five tenths
13. 20.5 eleven and two tenths
14. 22.5 two and five tenths
© Illegal to copy www. relightbooks.com C–13
STRAND: Algebra Operations
WRITING EQUATIONS
An equation is a number sentence with an equal sign.
Choose the correct equations. Ex: Jes has eighteen baseball
cards. His friend Tom has a number of cards
also. He and Tom have a combined total of forty cards.
______
A. 18 + n = 40 B. n × 18 = 40 C. 40 ÷ n = 18
1. Sarah had fifteen pencils. She gave some of them to her
friend. She had seven pencils left. _______
A. 15 – n = 7 B. n – 13 = 5 C. n – 7 = 15
2. Rachel had some money saved for a movie. After her mother
gave her $5 more, she had $13. _______
A. 13 + 5 = n B. n + 13 = 5 C. n + 5 = 13
3. Becky subtracted twenty from a number and got twelve as her
answer. _______
A. 20 – n = 12 B. n – 20 = 12 C. n + 12 = 20
Write the equations.
4. A number added to ten is twelve. ____________________
5. Ten added to a number is fifteen. ____________________
6. A number added to six is eleven. ____________________
7. Fifteen subtracted from a number is ten.
____________________
8. A number plus twenty is eighty. ____________________
9. The difference between fifteen and a number is eight.
____________________
10. Twenty-two added to a number is thirty-six.
____________________
A
© Illegal to copy www. relightbooks.com C–57
STRAND: Functions Relationships
ORDERED PAIRS
An ordered pair is two numbers written in order. They show where
a point is on a grid, graph, or plane. Use parentheses; for
example, (4, 5). The clue to finding a point is to look at the
ordered pair. The first number tells where to go on the x axis. The
second number tells where to go on the y axis.
Draw the shape located at each point.
Ex: (11, 10)
1. (4, 7) 6. (12, 3)
2. (3, 3) 7. (1, 3)
3. (6, 1) 8. (9, 6)
4. (6, 10) 9. (10, 2)
5. (2, 6) 10. (5, 2)
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
y
x
STRAND: Algebra
WRIT
An equation is a number sentence with
Choose the correct equation Ex: Jes has eighteen baseball c
also. He and Tom have a co
A. 18 + n = 40 Bn
1. Sarah had fifteen pencils. ShShe had seven pencils left.
_
A. 15 – n = 7 Bn
2. Rachel had some money samore, she had $13. _______
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Fax: 903.882.7571 • www.fi relightbooks.com • 800.975.0054
Firelight Books 9
EDUREALM SAMPLE PAGES
© Illegal to copy www. relightbooks.com D–101
Thinking skills improve when we compare and contrast to answer
problem-solving questions.
Use the two menus to answer the questions. Write BAYSIDE BURGERS
or BOB'S BURGER BOX.
STRAND: Mathematical Process Reasoning
COMPARE/CONTRAST
1. Who charges more for cheese on a hamburger?
__________________________
2. If you want a salad and a medium drink, where would you go
for the better price? __________________________
3. Which Combo #1 meal is the better deal?
__________________________
4. You need the following order filled. 2 Cheeseburgers 1 Hotdog
3 Md. Drinks 3 Lg. Fries
Where would you go to save the most money?
__________________________
BAYSIDE BURGERSHamburger $1.55Cheeseburger $1.75Hotdog
$1.25Salad $1.00Fries Lg. $1.25
Md. $1.00Sm. $0.80
Drinks Lg. $1.05Md. $0.95Sm. $0.80
Combo #1 $3.50 Hamburger Lg. Fries Lg. DrinkCombo #2 $3.25
Hotdog Lg. Fries Lg. Drink
BOB'S BURGER BOXHamburger $1.65Cheeseburger $1.70Hotdog
$1.15Salad $1.25Fries Lg. $1.15
Md. $1.05Sm. $0.90
Drinks Lg. $1.00Md. $0.90Sm. $0.75
Combo #1 $3.60 Hamburger Lg. Fries Lg. DrinkCombo #2 $3.15
Hotdog Lg. Fries Lg. Drink
© Illegal to copy www. relightbooks.com D–17
Line graphs show changes over periods of time.
Use the graph to answer the questions.
STRAND: Data Interpretation Readiness
LINE GRAPHS
Ex: How many people visited the park in June? __________
1. How many people visited the park in August? __________
2. What was the difference in attendance between April and May?
__________
3. During which month did attendance increase the most?
__________
4. Did the park attendance rise or fall from May to June?
__________
5. In which month was attendance the lowest? __________
6. Why do you think this month had the lowest attendance?
___________________________________________________________________________
___________________________________________________________________________
70,000
Atte
ndan
ce in
Tho
usan
ds
Funville Amusement Park Monthly Attendance
© Illegal to copy www. relightbooks.com D–8
STRAND: Algebra Readiness
ORDER OF OPERATIONS
Step 1: Work parentheses first.Step 2: Work exponents next.Step
3: Do all multiplication and division from left to right.Step 4: Do
all addition and subtraction from left to right.
In this lesson, we will answer equations using the proper order
of operations.
Follow this order when more than one step is involved in solving
an equation.
Solve. Show your work.
1. 8 + (4 – 1) = _______ 5. 20 – (5 × 2) = _______
2. 10 + (8 – 2) = _______ 6. (2 × 8) – 10 ÷ 2 = _______
3. (3 × 2) + 6 = _______ 7. 5 + (5 × 2) ÷ 2 = _______
4. (20 + 1) – 1 = _______ 8. 15 – (8 × 1) + 6 = _______
Examples
25 + (4 – 1) = 25 + 3 = 28
6 + (6 × 3) ÷ 9 = 6 + 18 ÷ 9 = 6 + 2 = 8
© Illegal to copy www. relightbooks.com D–44
Fractions are numbers that name parts of a whole or parts of a
set.
Write the fractions for each shaded part and each "not shaded"
part.
STRAND: Fractions Concepts
PART OF A WHOLE/PART OF A SET
1. 2.
Shaded: __________ Shaded: __________
Not shaded: __________ Not shaded: __________
3. 4.
Shaded: __________ Shaded: __________
Not shaded: __________ Not shaded: __________
Examples
Shaded: __________
Not shaded: __________
Shaded: __________
Not shaded: __________
4 4
0 0
1 4
3 4
onthly
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MATHEDURE
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THIS BOOK
BELONGS T
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10 Firelight Books 800.975.0054 • www.fi relightbooks.com • Fax:
903.882.7571
EDUREALM SAMPLE PAGES
© Illegal to copy www. relightbooks.com E–157
A calculator is useful for adding, subtracting, multiplying, and
dividing whole numbers.
Use a calculator to solve the problems.
28 55 6 86 72 10 41 14 20 95 A B C D E F G H I J
102 39 13 75 66 25 120 2 5 3 K L M N O P Q R S T
STRAND: Technology Calculator
WHOLE NUMBER OPERATIONS
Ex: A + B + C = __________
1. A + C – H + I + N – S + D – M = __________
2. C × P + O – Q + K = __________
3. O ÷ T × I ÷ R + G + A – K + N = __________
4. (D + M) – (L + F) + (P + B) = __________
5. (N + P) ÷ S × R + (K – E) = __________
6. A + B + C + D + E + F = __________
7. T + R + S + Q – K – L + M = __________
8. R × O × T × R ÷ T – Q + J = __________
9. B × F ÷ P + D + L – N = __________
10. Q – K – C – R – S = __________
89
© Illegal to copy www. relightbooks.com E–111
Capacity is the amount that a container can hold. The customary
units of liquid capacity are the fluid ounce, cup, pint, quart, and
gallon.
Solve.
STRAND: Measurement Capacity
CUSTOMARY UNITS
1. How many cups fill a 5-pint container? __________
2. How many pints fill a gallon container? __________
3. How many ounces fill a quart container? __________
4. How many pints fill a 3-quart container? __________
5. How many cups fill a gallon container? __________
Complete each statement.
6. 8 c = __________ pt 9. 1 qt = __________ c
7. 4 gal = __________ qt 10. 12 qt = __________ gal
8. 2 qt = __________ pt 11. 8 c = __________ qt
Apply what you know.
12. How many cups of lemonade does the
Strawberry Lemonade recipe make? __________
13. How many pints of lemonade does the
Strawberry Lemonade recipe make? __________
14. If the recipe were doubled, would there be enough cups for
28 students? __________
Explain.
______________________________________________________________
Strawberry Lemonade1 qt – strawberries1 pt – lemon juice1 qt –
orange juice
8 ounces = 1 cup2 cups = 1 pint2 pints = 1 quart
4 quarts = 1 gallon
© Illegal to copy www. relightbooks.com E–13
Integers are all natural numbers, their additive inverses, and
zero. Positive integers are to the right of zero. Negative integers
are to the left of zero. A negative sign is used to indicate
negative integers.
Use the number line to answer the questions.
STRAND: Algebra Operations
INTEGERS – DEFINE SET
Ex: What integer is found at point A? __________
1. What integer is found at point C? __________
2. What integer is found at point B? __________
3. Negative integers are to the (left, right) of 0.
__________
4. Positive integers are to the (left, right) of 0.
__________
5. Which point describes four feet underground? __________
6. Negative integers are (greater than, less than) zero.
__________
7. If you start at 0 and move 8 places to the left, you end up
at __________.
8. If you start at 4 and move 8 places to the left, you end up
at __________.
9. Find – 7 and label it point E.
10. Find 5. What integer is an equal distance from 0 in the
opposite direction? __________
Follow the directions.
11. Draw a number line from – 10 to 10. Number the points.
12. Label – 8 point A.
13. Label 9 point B.
14. Label – 2 point C.
Positive IntegersNegative Integers
– 6 –4 0 2 6
B F A D C
– 2
© Illegal to copy www. relightbooks.com E–113
The ounce, pound, and ton are customary units of weight. A mouse
weighs about an ounce. A soccer ball weighs about one pound. A
small car weighs about one ton. Scales are used to accurately
measure weight.
STRAND: Measurement Weight
CUSTOMARY UNITS
Write ounces, pounds, or tons to make each statement true.
Ex: A sack of potatoes may weigh five __________.
1. An elephant may weigh three __________.
2. An apple may weight five __________.
Complete.
3. 4 lb = _____ oz 8. 192 oz = _____ lb
4. 32 oz = _____ lb 9. 248 oz = _____ lb _____ oz
5. 8 T = _____ lb 10. 4,320 lb = _____ T _____ lb
6. 6,000 lb = _____ T 11. 7 lb 5 oz = _____ oz
7. 10 lb = _____ oz 12. 70 oz = _____ lb _____ oz
Solve. Show your work.
13. A 96 oz box of snack chips has 12 individual bags of chips.
How many ounces are
in each individual bag of chips?
_____________________________________________________________________
14. A box weighing 15 lbs contained 20 staplers. How much did
each stapler weigh?
_____________________________________________________________________
16 ounces (oz) = 1 pound (lb)2,000 lb = 1 ton (T)
pounds
their ars are
er the q
NTE
Ex: What integer is found at point A
1 Wh t i t i f d t i t C
gers
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A STANDARDS BASED RESOURCE
ELEVEL
THIS BOOK BELONGS TO
-
Fax: 903.882.7571 • www.fi relightbooks.com • 800.975.0054
Firelight Books 11
EDUREALM SAMPLE PAGES
© Illegal to copy www. relightbooks.com F–149
A discount is an amount of money subtracted from a regular
price.
Calculate the discount and subtract it from the original price
to determine the sale price of each item listed in the chart.
Item Original Price DiscountAmount of Discount
Original Price – Discount
Sale Price
Ex: Game $18.00 20% 18× .20
3.60
18.00– 3.60$14.40
1. Sewing Machine $200 30%
2. Camera $300 25%
3. Television $400 10%
4. Computer $950 15%
5. Art Set $15 40%
6. Shirt $38 20%
Shirts that were normally $22.00 were discounted 20%. Calculate
the cost to buy several shirts.
Shirts Original PriceAmount of Discount
Original Price – Discount
Sale Price
1 $22.00 22× .20
4.40
22.00– 4.40$17.60
2
5
STRAND: Number Theory Percent
DISCOUNT
© Illegal to copy www. relightbooks.com F–30
STRAND: Data Interpretation Readiness
CIRCLE GRAPHS
Circle graphs are used to compare data.
Use the circle graph to answer the questions.
The Adventure Club at Grayson Elementary School planned an
overnight camping trip. The circle graph shows the plan for the 24
hour trip.
Ex. How many hours are scheduled for meals? ____________
1. What percent of the 24 hours is to be spent on set up/clean
up? ____________
2. How many hours are set aside for sleeping? ____________
3. What activity was scheduled for of the 24 hours?
____________
4. Which is given more time: meals or set up/clean up?
____________
5. How much time is planned for hiking? ____________
6. How many hours of the trip are to be spent on hiking,
sleeping, and meals combined? ____________
CAMPOUT SCHEDULE
Sleeping Hiking
Meals
Free Time
110
1 4
1 8
2 5
1 8
Set up/Clean up
3
2 5
© Illegal to copy www. relightbooks.com F–9
Exponents are used to multiply a number (base) times itself. The
base is the big number. The exponent is the small number. The
exponent tells you how many times you multiply. Ex: 54 = 5 × 5 × 5
× 5. How do we read it? It is read five to the fourth power.
Complete the chart.
Exponential Form Factors Product
Ex: 5 3 5 × 5 × 5 125
1. 4 4
2. 9 3
3. 8 4
4. 2 6
5. 6 2
6. 4 2
Rewrite using exponents.
7. 8 × 8 × 8 × 8 _______ 8. 6 × 6 × 6 _______
9. 9 × 9 _______ 10. 11 × 11 × 11 ______
11. 14 × 14 × 14 × 14 _______ 12. 7 × 7 × 7 × 7 _______
Write the standard numerals.
13. 4 3 = _______ 14. 73 = _______ 15. 24 = _______
16. 10 4 = _______ 17. 52= _______ 18. 6 4= _______
19. 13 = _______ 20. 4 2 = _______ 21. 3 3 = _______
22. 6 2 = _______ 23. 5 3 = _______ 24. 72 = _______
STRAND: Algebra Readiness
EXPONENTS AND POWERS
© Illegal to copy www. relightbooks.com F–143
Percent is a ratio whose second term is 100. Percent means "per
hundred." It is written with a percent sign: %. Ex: 50% (50 per
hundred)
Write the percent for each ratio.
1. 7. 13.
2. 8. 14.
3. 9. 15.
4. 10. 16.
5. 11. 17.
6. 12. 18.
Write a ratio, a percent, and a fraction for each symbol in the
chart.
Symbol Ratio Percent Fraction
Ex: 12:100 12%
19.
20.
21.
STRAND: Number Theory Percent
RELATED TO RATIOS
Examples
ratio = 10040 percent = 40%
ratio = 53
10060= percent = 60%
× 20
× 20
8 = 100
40 = 200
2 = 50
39 = 100
54 = 100
30 = 100
2 = 4
1 = 4
6 = 50
65 = 100
32 = 100
27 = 50
23 = 100
7 = 10
12 = 25
1 = 5
8 = 20
3 = 10
12
100
Readiness
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MATHEDUREALM SERIES
A STANDARDS BASED RESOURCE
FLEVEL
THIS BOOK BELONGS TO
-
12 Firelight Books 800.975.0054 • www.fi relightbooks.com • Fax:
903.882.7571
EDUREALM SAMPLE PAGES
© Illegal to copy www. relightbooks.com G–161
Using a calculator makes calculating money transactions
easy.
Use a calculator to complete the receipts. Do not forget to add
in sales tax.Use 8% for the tax rate on each of the receipts.
1. 2.
3. 4.
STRAND: Technology Calculator
DECIMALS/MONEY
Qty. ItemUnitPrice Price
3 Baseball 3.251 Glove 45.002 Batting Glove 7.501 Shoes
35.00
SubtotalTax
Total
Grayson's Sporting Goods
Qty. ItemUnitPrice Price
3 Shampoo 2.895 2 L Juice 2.992 Toothpaste 1.863 Pkg. AAA
Batteries 2.25
8 Pocket Folder
0.25
4 Pens 3.50Subtotal
TaxTotal
Save You $ Store
Qty. ItemUnitPrice Price
3 hamburger 3.502 Cheeseburger 4.255 Fries 2.152 Sm. Drink 1.253
Lg. Drink 1.98
SubtotalTax
Total
Harry's Hamburger Stand
Qty. ItemUnitPrice Price
1 Lg. Sausage 14.992 Med. Pepperoni 7.994 Lg. Drink 1.954 Med.
Drink 1.652 Breadsticks 2.25
SubtotalTax
Total
Wade's Pizza Palace
© Illegal to copy www. relightbooks.com G–79
STRAND: Functions Relationships
ORDERED PAIRS
A point on a grid, graph, or plane is named by an ordered pair
of numbers. The numbers in an ordered pair are coordinates. To plot
a point on a grid, start at (0, 0). Use the first coordinate to
tell where to move horizontally (on the x axis). Then, use the
second coordinate to tell where to move vertically (on the y axis).
When two ordered pairs differ only by signs, the locations of the
points are related by reflections across one or both axes.
Graph the following points.
Ex: (4, 5)
1. point A (4, 4)
2. point B ( 1, 3)
3. point C ( 4, 4)
4. point D (0, 9)
5. point E (8, 1)
6. point F ( 10, 0)
7. point G (6, 6)
8. point H (11, 8)
9. point I ( 2, 5)
10. point J (0, 0)
Give the coordinates for the following points.
11. point A (____, ____)
12. point B (____, ____)
13. point C (____, ____)
14. point D (____, ____)
15. point E (____, ____)
16. point F (____, ____)
17. point G (____, ____)
18. point H (____, ____)
19. point I (____, ____)
20. point J (____, ____)
Ex
A
F
B
I
E
J
G
H
D
C
-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11
9
8
7
6
5
4
3
2
1
-1
-2
-3
-4-5-6
-7
-8
-9
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
x
x
y
y
© Illegal to copy www. relightbooks.com G–23
Variables are letters that take the place of unknown numbers.
When you have two variables and the value for one of them is given,
you can determine the value of the second variable.Input the known
value into the equation, and then solve for the unknown value.
Solve. Write your solutions as (x, y ). Use x = 6.
Ex: x + 7 = y 1. 24 x = y 2. 2x + 3 = y
6 + 7 = y
(6, 13)
Use x = 10.
3. 30 3x = y 4. y = 120 5x 5. 41 + 3x = y
Use x = 20.
6. = y 7. = y 8. y =
Complete the charts. 9. 4x 4 = y 10. 5x 10 = y
STRAND: Algebra Operations
SOLVE EQUATIONS WITH TWO VARIABLES
x y
3
12
8
40
x + 4 2
44 x 8
62 22 x
x y
2
10
60
65
© Illegal to copy www. relightbooks.com G–80
STRAND: Functions Relationships
VENN DIAGRAMS
A Venn diagram shows relationships between two or more groups of
items.
Use the Venn diagram below to answer the questions.
The students in health class were asked to complete a survey.
They were asked if they had eaten pizza, hamburgers, or tacos
during the last week.
1. How many students were surveyed? _____________
2. How many students had eaten pizza during the last week?
_____________
3. How many students had eaten hamburgers during the last week?
_____________
4. How many students had eaten tacos during the last week?
_____________
5. How many students had eaten pizza and hamburgers during the
last week?
_____________
6. How many students had eaten pizza and tacos during the last
week? _____________
7. How many students had eaten all three during the last week?
_____________
8. How many students had eaten hamburgers and tacos during the
last week?
_____________
Tacos
HamburgersPizza12
20
8
65
4
15
e placgivenquatio
s (x, y
Use x = 10.x
3 30 3
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Firelight Books 13
EDUREALM SAMPLE PAGES
Volume is the amount of space inside a space figure. Volume is
measured in cubic units.
Use the formula for each space gure to calculate the volume for
that gure.
Rectangular Prism: V = l • w • h
1. 2.
_______________________ _______________________
Other Prisms: V = b • h ( b = l • w )
3. 4. b = 20 cm2 b = 16 in2 h = 12 cm h = 5 in
_______________________ _______________________
Cylinders: V = • r 2 • h
5. 6.
_______________________ _______________________
The volume of a cone is the volume of a cylinder having the same
base area and height.
Apply what you know. 7. An oil barrel is 4' tall. The diameter
is 32". What is the volume in inches? ____________
© Illegal to copy www. relightbooks.com H–138
A cube has this volume: V = s3
If the sides are doubled, the new cube will have sides that are
2 times as long. Since the original side lengths were s, the new
side lengths will be 2 times as much, which is 2s.Calculate the
volume: V = (2s)3 = 8s3. Divide the new volume by the original
volume and simplify.
Look at this cube:
8. If the lengths are doubled, which of the following statements
about its volume will be true? A. The new volume will be one eighth
of the old volume. B. The new volume will be two times the old
volume. C. The new volume will be eight times the old volume.
3 mm
3 mm
3 mm 6 mm 6 mm
6 mm
new volume original volume
8s3 s3=
= 8 The new volume will be 8 times the old volume.
4 mm
4 mm
4 mm
STRAND: Measurement Area/Volume
VOLUME
1.25 ft
2 ft
1.5 ft
14 cm 9 cm
10 cm
3.5 in
5 in
5 ft
2 ft
1 3
To divide by a fraction, multiply by its reciprocal. Rename
mixed numbers and whole numbersas fractional numbers before
dividing.
Divide. Simplify your answers.
1. 4.
2. 5.
3. 6.
Solve.
7. Hayley is making a flag. She needs strips of fabric 2 inches
wide for the stripes.
How many strips can she cut from a piece of fabric 48 inches
wide? ____________
8. Mr. Farrar owns 25 acres of land. He plans to develop a new
neighborhood on the land.
If each lot is to be of an acre, how many lots will there be?
____________
9. Hope walked a total of 20 miles. If she walked 2 miles each
day, how many
days did it take her to walk the total distance?
____________
10. Leo is preparing hamburgers for his family reunion. If he
has 25 lbs of ground
meat, how many hamburgers can he prepare if each burger requires
lb of meat?
____________
Example
Invert the divisor (reciprocal).
Then, multiply the dividend by the reciprocal of the
divisor.
Simplify as needed.
© Illegal to copy www. relightbooks.com H–84
STRAND: Fractions Operations
DIVISION – RECIPROCALS
2 • 12 = 24 = 1 8 = 1 1 8 2 16 16 2
2 ÷ 2 = 8 12 ______
5 ÷ 6 2 = 6 3 ________
3 1 ÷ 2 1 = 5 5 ________
1 7 ÷ 4 5 = 8 8 ________
8 8 ÷ 3 = 9 ________
2 5 ÷ 3 = 12 ________
9 1 ÷ 5 9 = 3 11 ________
5 8
5 8
2 10 1 4
1 4
1 2
Write the standard numerals.
1. 62 = _______ 2. 82 = _______ 3. 92 = _______
4. 112 = _______ 5. 52 = _______ 6. 32 = _______
Write the square roots.
7. 100 = _______ 8. 4 = _______ 9. 400 = _______
10. 81 = _______ 11. 1 = _______ 12. 900 = _______
Use a calculator to nd each of the following square roots. Press
the number, and then the sign.
13. 8,100 = _______ 14. 1,225 = _______ 15. 1,849 = _______ 16.
5,776 = _______ 17. 841 = _______ 18. 2,500 = _______
The square roots above are "perfect squares" because their
answers are whole numbers. Use a calculator to nd the square roots
of numbers that are not perfect squares. Find the square roots of
the numbers. Round to thousandths.
19. 2 = _______ 20. 10 = _______ 21. 6 = _______
22. 46 = _______ 23. 11= _______ 24. 30 = _______
Find the length of each side.
25. A square has an area of 841cm2. What is the length of each
side? _______ 26. A square has an area of 441cm2. What is the
length of each side? _______
STRAND: Algebra Readiness
SQUARES, SQUARE ROOTS, CUBES, AND CUBE ROOTS
A square is the product of any number multiplied by itself. Ex:
64 is the square of 8. A square root is a number that when
multiplied by itself equals a given number. Ex: the square root of
36 is 6.
Example
52 is read "5 squared." 25 = 5 is read "the square root of 25 is
5."
© Illegal to copy www. relightbooks.com H–11
A cube root is a number that when multiplied three times equals
a given number. 33 is read three cubed. 3 27 = 3 is read "The cube
root of 27 equals 3."
27. 63 = _______ 28. 43 = _______ 29. 53 = _______ 30. 33 =
_______
Write the cubes.1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Perfect Cubes
1 8
© Illegal to copy www. relightbooks.com H–89
A function is an input-output relationship giving only one
output for each input.
Use the rules to complete input-output tables or state the rules
for complete tables.
1. Rule 2. Rule 3. Rule
4. Rule 5. Rule 6. Rule
__________ __________
Functions can be represented in different ways. When two
variables have a constant ratio, it's "direct variation." The
formula for direct variation is y = kx. Complete the input-output
table and graph the coordinates.
7. Rule 8. y = 2x
9. A linear equation makes a straight line when it is graphed.
In a proportional relationship, the line goes through the origin
(0,0). Does your graph line show a proportional relationship?
_______ Is y = 2x linear? _______ Does y = 2x show direct
variation? _______
10. Circle the letter that represents the function that is
nonlinear. A. B. C. D.
STRAND: Functions Relationships
TABLES
y = 3x – 6 y = + 4
x y
4 10
3 9
2 8
1 7
0 6
x y
3
6
9
12
15
18
x y
3
2
1
0
1
2
x y
2 12
1 9
0
1
2
x y
10
15
20
25
30
x y
2 8
4 14
6 20
8 26
10 32
y = + 11 x 3
x 5 y = 7x + 8
x y
3
2
0
2
3
y
x x
y
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
xed numbers and whole numbers
sor.
Operations
LS
1 8 = 1 1 16 1 = 2 1
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DR. NANCY NICHOLS
NIC
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ALGEBRA B
ELEM EN TS O F BAS I CELE
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ElementsFor High School Students
• Standards Aligned (including Common Core)
• TEKS Aligned
• Age-Appropriate Content
Finally…high school content in an age-appropriate, easy-to-read
format! The standards-aligned, self-explanatory lessons allow
students to progress independently.
Use the Elements Curriculum in:• Mainstream Classrooms•
Inclusion/Coteaching• Intervention/RTI
• Resource Settings
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Is your student…• Reading at a second to
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RESEARCH REPORTS TOP 5 BENEFITS
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See more Elements Curriculum on pages 16 – 47.
SPEECH COMMUNICATION
E L E M E N T S O F BAS I C
DR. NANCY NICHOLS
NIC
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The Complete Kit per subject includes:• Teacher Resource
Edition
Student Textbook Key
Practice Book Key
Goals & Objectives
Pretests & Posttests/Keys
Unit Tests – Standard Form/Keys
Unit Tests – Form B/Keys
Vocabulary Enrichment Keys
Chapter Activities & Projects
• 10 Student Textbooks (Consumable)
• 10 Practice Books (Consumable)
• CD (Goals & Objectives, Tests, Vocabulary Enrichment)
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• 10 Student Textbooks (Consumable)• 10 Practice Books
(Consumable)
For most subjects, the price of $995.00 per subject for the
Digital Site License Subscription* includes:
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• Digital Content:• Teacher Resource Edition
Student Textbook Key
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Vocabulary Enrichment/Keys
Chapter Activities & Projects
• Student Textbooks• Practice Books
Content is easily imported and used with Smart Boards and laptop
technology. Multi-year subscription discounts available.
* The Site License Subscription grants the right to reproduce
content for one year. The site license is issued to each school
(site) for each subject.
Buy the Elements CurriculumComplete Kit
Buy the Elements CurriculumDigital Site License Subscription
DR. NANCY NICHOLS
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WORLD HISTORY
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Standards Aligned(incl Common Core)
TEKS Aligned
ALGEBRA A
ELEMENTS CURRICULUM: FOR HIGH SCHOOL STUDENTS READINGAT A GRADE
2–4 LEVEL
Complete Kit (Books)
Code* Price Reorder Code** Reorder Price
EL-ALGA $595.00 EL-ALGA-RO $395.00
Digital Site License Subscription
First Year Code*** Price Renewal Code Renewal Price
EL-ALGA-SL $995.00 EL-ALGA-SL-RO $495.00
Content is easily used with Smart Boards and other technology.
Multi-year subscription discounts available.
PRICING
• Grade: High School• Reading Level: Grades 2 – 4
• Target Populations: Special Ed, Dyslexia, English Language
Learners
Would you like to see more sample pages? Email: samples@fi
relightbooks.com
ELEMENTS OF BASIC ALGEBRA A
Basic Algebra concepts are explained in a clear, step-by-step
format. Algebra is divided into two parts, Algebra A and Algebra B
to teach a complete high school algebra course.
• Concise, easy to understand instructions and real-life
examples help students grasp difficult concepts.
• Each lesson is self-explanatory, so students can progress
independently.
• The content matter is grade level, age-appropriate, and
standards aligned.
• This complete program fosters learning and success for
students of all ability levels with extensive skills practice,
real-life connections, vocabulary games, and projects.
EXAMPLE CONCEPTS:
• Order of Operations• Variables• Properties• Exponents• Linear
Equations
Student Book offers 180+ instructional and practice pages with
real-life examples to build algebra skills.
Practice Book offers 180+ practice pages to reinforce algebra
skills.
Teacher Resource Edition includes reproducible pretests,
posttests, and unit tests (standard form and form B for cognitively
challenged students), goals and objectives (IEPs), chapter games,
activities, and projects, and all answer keys.
Combine Elements of Basic Algebra A and Algebra B to meet the
standards for a high school algebra course.
“I like this curriculum because it targets the students (i.e.
dyslexia, ADHD, or cognitive learning disabilities) in our school
and it provides real life examples. In addition, it provides
step-by-step instructions which are especially important for our
special needs students.” Juan A. III, Dean of Students/Head of
Special Education, Pennsylvania
* Hard Copy: Teacher Resource Edition with CD, 10 Student
Consumable Textbooks, 10 Consumable Practice Books ** Hard Copy: 10
Student Consumable Textbooks, 10 Consumable Practice Books*** Hard
Copy: Teacher Resource Edition with CD, 1 Student Consumable
Textbook
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Firelight Books 17
ELEMENTS OF BASIC ALGEBRA A SAMPLE PAGES
© Illegal to Copy www.firelightbooks.com 160
YOU HAVE THE POWER!
Read this. p An exponent is a little number written nextto a big
number. The exponent tells how many times tomultiply the big number
by itself. It looks like this: 52. Thismeans 5 x 5, which equals
25. The little 2 is the exponent. It DOES NOT mean to multiply the
5 by 2!
The Game: Find the power in these expressions. Write the answers
in the blanks. Show your work!
UN
IT 6
The Game: Answer the questions.45
What is the base number? ______What is the exponent? ______What
does 45 mean? _________________________________What is 45?
______
The Game: Underline the correct answer.
What does 53 mean? 5 x 5 x 5 5 x 3
What does 62 mean? 6 x 2 6 x 6
What does 74 mean? 4 x 7 7 x 7 x 7 x 7
(¯3)3 = ______ (¯4)2 = ______
35 = ______ (¯8)2 = ______
HIT IT HARD!
Parentheses p ( )The parentheses can mean multiplication.
Theycan also be used to group numbers together,like this:
5(7 + 1) (9 + 3)4 (14 ÷ 2) + 3
Remember: Please Excuse My Dear Aunt Sally.P means parentheses,
so work out the numbersin parentheses first.
Example p 12 ÷ (2 + 2)Work the parentheses. 12 ÷ (4)Finish the
problem. 12 ÷ 4 = 3
When do you work out the numbers in the parentheses?
© Illegal to Copy www.firelightbooks.com 26
UN
IT 1
The Game: Fill in the blanks.7 x (3 – 1)
Work the parentheses. p 7 x (____)Finish the problem. p 7 x ____
= ____
5 x (5 – 1)Work the parentheses. p 5 x (____)Finish the problem.
p 5 x ____ = ____
3 x (3 + 4)Work the parentheses. p 3 x (____)Finish the problem.
p 3 x ____ = ____
-
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903.882.7571
Standards Aligned(incl Common Core)
TEKS Aligned
Complete Kit (Books)
Code* Price Reorder Code** Reorder Price
EL-ALGB $595.00 EL-ALGB-RO $395.00
Digital Site License Subscription
First Year Code*** Price Renewal Code Renewal Price
EL-ALGB-SL $995.00 EL-ALGB-SL-RO $495.00
Content is easily used with Smart Boards and other technology.
Multi-year subscription discounts available.
PRICING
For more information, or to order online: www.fi
relightbooks.com
• Grade: High School• Reading Level: Grades 2 – 4
• Target Populations: Special Ed, Dyslexia, English Language
Learners
“I like the way it is broken down to enable one on one
instruction for the “at risk” student. This enhances student
understanding of the curriculum and they are able to get a better
grasp of the curriculum.” Trena E., Arkansas
ALGEBRA B
ELEMENTS CURRICULUM: FOR HIGH SCHOOL STUDENTS READINGAT A GRADE
2–4 LEVEL
ELEMENTS OF BASIC ALGEBRA B
Help your student grasp algebraic concepts. AlgebraB continues
the foundations from Algebra A. Difficult concepts are explained in
a step-by-step format.
• Concise, easy to understand instructions and real-life
examples help students grasp difficult concepts.
• Students’ progress independently with standards-aligned,
self-explanatory lessons.
• This complete program fosters learning and success for
students of all ability levels with extensive skills practice,
real-life connections, vocabulary games, and projects.
• Achieve mathematic success with the Elements.
EXAMPLE CONCEPTS:
• Coordinate Graphing• Writing & Graphing Linear Equations•
Slopes• Inequalities & Systems• Quadratic Functions &
Equations
Student Book offers 180+ instructional and practice pages with
real-life examples to build skills.
Practice Book offers 180+ practice pages to reinforce
skills.
Teacher Resource Edition includes reproducible pretests,
posttests, and unit tests (standard form and form B for cognitively
challenged students), goals and objectives(IEPs), chapter games,
activities, and projects, and all answer keys.
Combine Elements of Basic Algebra A and Algebra Bto meet the
standards for a high school algebra course.
ignedignedn Core)n Core)nedned
* Hard Copy: Teacher Resource Edition with CD, 10 Student
Consumable Textbooks, 10 Consumable Practice Books ** Hard Copy: 10
Student Consumable Textbooks, 10 Consumable Practice Books*** Hard
Copy: Teacher Resource Edition with CD, 1 Student Consumable
Textbook
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ELEMENTS OF BASIC ALGEBRA B SAMPLE PAGES
SHAPE
The shape of the parabola is important.
Break It Down: The shape tells about the coefficient.
The coefficient is a number that is multiplied by a letter
(variable).Examples:
2 is the coefficient of x2. p 2x2
¯2 is the coefficient of x2. p ¯2x2
x2 or 1x2This parabola opens upward.The coefficient is
positive.The coefficient is 1.
Does the U-shaped parabola look like a cup or a cap?
__________
The left half of this parabola is the mirror image of the right
half. The parabola is vertical, and is symmetrical about the
y-axis, so it is an even function.
© Illegal to copy www.firelightbooks.com 166
UN
IT 6
The Game: Underline the coefficients of x2. Write P for POSITIVE
or N for NEGATIVE.
2x2 ____________________
1x2 ____________________
¯5x2 ____________________
4x2 ____________________
6x2 + 3 ____________________
-5 -4 -3 -2 -1 1 2 3 4 5
5
43210
-1-2-3-4-5
TELLING THE FUTURE
Look at trends to predict the future.
Break It Down:You can predict the future! Not really, but youcan
have an idea about what might happen.
Example:It began to rain at noon. By 1 p.m., it had rained one
inch.By 2 p.m., it had rained two inches.
If it keeps raining at the same rate, how much rainfall will
there be by 3 p.m.?_______________
What is another word for guess or foretell?
© Illegal to copy www.firelightbooks.com 150
UN
IT 5
The Game: Plot the rainfall, graph the line, and fill in the
blanks.
It began to rain at noon. By 1 p.m., it had rained one inch.By 2
p.m., it had rained two inches.By 4 p.m., it had rained a total of
four inches.
Plot the rainfall. Draw a line through the points.
It keeps raining!
What do you think the total rainfall will be at 5 p.m.?
_____
What do you think the total rainfall will be at 6 p.m.?
_____
Do you predict that there is a chance of a flood? __________
5"
4"
3"
2"
1"
1p.m. 2p.m. 3p.m. 4p.m. 5p.m.
••
5"
4"
3"
2"
1"
1p.m. 2p.m. 3p.m. 4p.m. 5p.m.
COORDINATE PLANE
Stand up. Stretch out your arms. You have made a human
coordinate plane!
A coordinate plane is a graph. It has two number lines that
cross. The x axis is horizontallike your arms. The y axis is
vertical. It goes upand down like your body.
The axes cross at (0, 0), the point of origin. The arrows on the
lines mean thelines go on forever.
Lift your arms to shoulder level. Your arms are like which
axis?
© Illegal to copy www.firelightbooks.com 9
UN
IT 1
The Game: Draw a coordinate graph. Include the x axis and the y
axis.Include the positive and negative numbers.
x
y
-5 -4 -3 -2 -1 1 2 3 4 5
5
43210
-1-2-3-4-5
QUADRATIC
Quadratic equations explain about real life,such as the planets'
orbits around the sun.
Break It Down:A quadratic equation is an equation withone or
more variables in it raised to the second power, or squared, and
there are novariables in it that have a higher power thanthat. Look
for x2 or y2 in it!Attention! This is the formula for a quadratic
equation that we are going to use:
y = ax2 + bx + c(a, b, and c can have any value, except that a
cannot be 0.)
Examples of quadratic equations:0 = 2x2 + 5x + 3 x2 + 3x + 5 =
03x2 – 4x + 3 = 0 ¯5x2 – 2x + 3 = 7
This is a quadratic equation too:0 = x2 – 2x Don't be tricked! a
= 1, b = ¯2, and c = 0
What is the formula that we are using for a quadratic
equation?
© Illegal to copy www.firelightbooks.com 157
The Game: Circle the x2 in each quadratic equation.
y = ax2 + bx + c ¯5x2 – 2x + 3 = 7
0 = 2x2 + 5x + 3 0 = x2 – 2x
y = 1x2 + 3x + 2 3x2 – 4x + 3 = 0
0 = 1x2 + ¯2x x2 + 3x + 5 = 0
UN
IT 6
-
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903.882.7571
Standards Aligned(incl Common Core)
TEKS Aligned
• Grade: High School• Reading Level: Grades 2 – 4
• Target Populations: Special Ed, Dyslexia, English Language
Learners
Complete Kit (Books)
Code* Price Reorder Code** Reorder Price
EL-GEO $595.00 EL-GEO-RO $395.00
Digital Site License Subscription
First Year Code*** Price Renewal Code Renewal Price
EL-GEO-SL $995.00 EL-GEO-SL-RO $495.00
Content is easily used with Smart Boards and other technology.
Multi-year subscription discounts available.
PRICING
For more information, or to order online: www.fi
relightbooks.com
GEOMETRY
ELEMENTS CURRICULUM: FOR HIGH SCHOOL STUDENTS READINGAT A GRADE
2–4 LEVEL
“Broken down, easy to use, and provides foundational instruction
to build upon in high maths.” Joanne R., Lead Exceptional Ed.
Teacher, Georgia
ELEMENTS OF BASIC GEOMETRY
Guides students’ understanding of basic principles of geometry
by identifying, analyzing, constructing, and measuring.
• The Elements of Basic Geometry gives struggling readers the
support they need to understand difficult concepts.
• Concise, easy to understand instructions and real-life
examples help students understand difficult concepts.
• The content matter is grade level, age-appropriate, and
standards aligned.
• This complete program fosters learning and success for
students of all ability levels with extensive skills practice,
real-life connections, vocabulary games, and projects.
EXAMPLE CONCEPTS:
• Geometric Shapes• Perimeter, Area, & Volume• Radii &
Diameters• Logic & Relationships
Student Book offers 180+ instructional and practicepages with
real-life examples to build skills.
Practice Book offers 180+ practice pages to reinforce
skills.
Teacher Resource Edition includes reproducible pretests,
posttests, and unit tests (standard form and form B for cognitively
challenged students), goals and objectives (IEPs), chapter games,
activities, and projects, and all answer keys.
* Hard Copy: Teacher Resource Edition with CD, 10 Student
Consumable Textbooks, 10 Consumable Practice Books ** Hard Copy: 10
Student Consumable Textbooks, 10 Consumable Practice Books*** Hard
Copy: Teacher Resource Edition with CD, 1 Student Consumable
Textbook
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Firelight Books 21
ELEMENTS OF BASIC GEOMETRY SAMPLE PAGES
© Illegal to copy www.firelightbooks.com
PRETESTLook at the picture. Write the answers in the blanks.
1. m∠FAC = _____ 6. m∠DBE = _____2. m∠FAB = _____ 7. m AB =
_____3. m∠FDB = _____ 8. m AF = _____4. m∠CAG = _____ 9. m BC =
_____5. m∠FAD = _____ 10. m DF = _____
Look at the picture. Write T for True or F for False.
1. AB � FG _____ 6. BC is a diameter. _____2. AB ⊥ DE _____ 7.
∠DBA is a right angle. _____3. DA � FA _____ 8. Point D lies in the
interior of ʘʘA. _____4. AB ⊥ DF _____ 9. AB, AF, and AC are radii.
_____5. DA is a chord. _____ 10. ∠ DAF is an acute angle. _____
Look at the picture. Write the answers in the blanks.
What is one diagonal of �BDFA? _____
What is the perimeter of �BDFA? _____
What is the area of �BDFA?
________________________________________
Fill in the blanks. V = l x w x h
Shala's gift box is 5" long, 2" high, and 4" wide. She wants a
watch. The volumeis _____ cubic inches. Do you think a watch could
fit in the box? _____
ELEMENTS OF BASIC GEOMETRY Name
______________________________
© Illegal to copy www.firelightbooks.com 128
DRAWING A CIRCLE
We use a compass to make an accurate drawing ofa circle. There
are two movable arms. One arm hasa pointed end and the other arm
holds a pencil. Thisis a compass.
HingeMovable arms
Pencil
Holder for pencil
Needle
How to draw a circle with a compass:1. Tighten the hinge so that
it does not slip. 2. Tighten the holder for the pencil. 3. Line up
the pencil lead with the compass needle. 4. Press down on the
needle and turn the knob at the top of the compass
to draw. Turn the compass 360°.
The Game: Draw the circle.Make a compass with your hand. Press
your thumb down and turn your hand soyour little finger draws an
imaginary circle.
UN
IT 5
© Illegal to copy www.firelightbooks.com 22
ANGLES
Angles are two rays with the same endpoint.The endpoint is
called a vertex point.To name an angle, use the symbol ∠. When we
name an angle, the middle lettermust be the vertex point.
This is ∠TOX. It can be called ∠XOT too. O is the vertex
point.
VERTEX POINT
The Game: Write the names of the angles in the blanks.
The Game: Draw the angles.
UN
IT 1
_________ _________ _________ _________
∠ABC ∠XYZ ∠MNO ∠JKL
• B • V• K • R
•E
•D
•N
•Y
•D
•E
•A
•C
© Illegal to copy www.firelightbooks.com 132
RADII
A radius is any line segment that has one endpoint at the center
of the circle and the otherendpoint on the circle. Every radius of
the samecircle is the same length.
Look at ʘA. BA is a radius of ʘA. DA, FA andHA are radii
too.
BA = 1"FA = _____HA = _____Important tipp The measurement of the
diameteris the radius times two. Find the measurement of the
diameters of ʘA.BC = _____ HI = _____FG = _____ DE = _____
Important tipp The measurement of the radius is the diameter
divided by two.Look at ʘX. NO, PQ, and RS are diameters of ʘX.NO =
4 cm. Find the measurement of the radii of ʘX.NX = _____RX =
_____SX = _____
The Game: Follow the directions.
UN
IT 5
Draw ʘV. WX and YZ are diameters of ʘV.
WX = 6 cm WV = _____
YZ = _____ ZV = _____
•
•F
B A
H
•
R
O
Q
P
N
S
X
•
••
•
•
D
I
G
E
C•
•
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903.882.7571
Standards Aligned(incl Common Core)
TEKS Aligned
BIOLOGY
ELEMENTS CURRICULUM: FOR HIGH SCHOOL STUDENTS READINGAT A GRADE
2–4 LEVEL
Complete Kit (Books)
Code* Price Reorder Code** Reorder Price
EL-BIO $595.00 EL-BIO-RO $395.00
Digital Site License Subscription
First Year Code*** Price Renewal Code Renewal Price
EL-BIO-SL $995.00 EL-BIO-SL-RO $495.00
Content is easily used with Smart Boards and other technology.
Multi-year subscription discounts available.
PRICING
• Grade: High School• Reading Level: Grades 2 – 4
• Target Populations: Special Ed, Dyslexia, English Language
Learners
Would you like to see more sample pages? Email: samples@fi
relightbooks.com
“It targets a student population that very often has few
materials that are at an appropriate level, but still RESPECTFUL of
the students’ age and their self-esteem.” Ernie M., Director of
Educational Programs, Alaska
ELEMENTS OF BASIC BIOLOGY
Guide students to understand the basic principles of biology.
Students study a variety of topics that include structures and
functions of cells and viruses; growth and development of
organisms; cells, tissues, and organs; nucleic acids and genetics;
taxonomy; metabolism and energy transfers in living organisms;
living systems; homeostasis; and ecosystems and the
environment.
• The Elements of Basic Biology gives struggling readersthe
support they need to understand difficult concepts.
• Concise, easy to understand instructions and real-life
examples help students master objectives.
• The content matter is grade level, age-appropriate, and
standards aligned.
• This complete program fosters learning and success for
students of all ability levels with extensive skills practice,
real-life connections, vocabulary games, and projects.
EXAMPLE CONCEPTS:
• Characteristics of Living Organisms• Scientifi c Method•
Organic Molecules• Cell Theory• Mendelian Genetics
Student Book offers 180+ instructional and practice pages with
real-life examples to build skills.
Practice Book offers 180+ practice pages to reinforce
skills.
Teacher Resource Edition includes reproducible pretests,
posttests, and unit tests (standard form and form B for cognitively
challenged students), goals and objectives (IEPs), chapter games,
activities, and projects, and all answer keys.
* Hard Copy: Teacher Resource Edition with CD, 10 Student
Consumable Textbooks, 10 Consumable Practice Books ** Hard Copy: 10
Student Consumable Textbooks, 10 Consumable Practice Books*** Hard
Copy: Teacher Resource Edition with CD, 1 Student Consumable
Textbook
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Firelight Books 23
ELEMENTS OF BASIC BIOLOGY SAMPLE PAGES
© Illegal to Copy www.firelightbooks.com 90
ALLELES
Each gene can be found at a certain place on aparticular
chromosome. There are two copies ofthe gene. Where the gene is
found is called thelocus. Different forms of the same gene are
calledalleles. If the two alleles are the same, they arecalled
homozygous. If the two alleles are different,they are called
heterozygous.
The gene for eye color in people has different alleles. List
some different eyecolors.
________________________________________________________
The Game: Answer the questions.If a person has two alleles for
blue eyes, are the alleles homozygous or heterozygous?
________________________________
If a person has one allele for brown eyes and one allele for
blue eyes, are thealleles homozygous or heterozygous?
__________________________
UN
IT 3
The Game: Fill in the Punnett square.Parent A TT This parent pea
plant is homozygous tall (all tall genes).Parent B tt This parent
pea plant is homozygous short (all short genes).
Parent A
This shows four offspring. How many have a gene for tallness?
_____
Parent B
T T
t
t
p
p
p
YOU ARE A SCIENTIST
Scientists examine living things. When you see that one kind of
fish looks different from another, you are observing nature. When
you watch the way birds fly, you are studying biology.
What flavor of ice cream do you like best?
_______________________You did an investigation when you tasted
other flavors. You compared the flavors and learned that you like
some flavors better than others. You are a scientist!
LAB SAFETY IS IMPORTANT• Listen carefully and follow
directions.• Don't goof off, run, push others, or make a mess. No
eating or drinking in the lab.• Stay safe. Wear goggles, gloves,
masks, and lab coats. Gloves may cause latex allergies. • Wash your
hands before and after each experiment.• Know what is poisonous.
Know what to do if there is an emergency.• Never stick your nose
into or look directly into a test tube. Don't taste chemicals.•
Never point the open end of a test tube toward yourself or anyone.
• Use only clean glassware that isn't broken or chipped.• Keep
electrical equipment away from