Introduction For Parents and Teachers Mathematics 6 combines proven teaching methods with colorful pictures and illustrations to teach students basic math facts and concepts. Its use of practical applications helps students relate to math in the real world. Its incremental approach and spiral review (teaching concepts in small increments and continuous review) make Mathematics 6 an effective math course. The consistent, systematic review helps students retain what they have learned. The goal is mastery, not just exposure. How to Use Mathematics 6 Each unit follows a theme, introduced by a story and photographs relating to the theme. Many nuggets of information follow this theme. The header in each lesson tells what unit and lesson is taught that day. It also tells which speed or mastery drill to administer. The colored teaching box beginning each lesson teaches the new concept, followed by exercises to reinforce the concept. This concept is reviewed again just before Sharpening Your Skills. We Remember follows the teaching lesson and its reviews. It also reviews concepts taught in earlier lessons. Students should be able to work through these exercises independently. A small reference number after each exercise indicates the page number where the concept was taught. Sharpening Your Skills drills students in basic computation (using any of the four math operations), mental math, and fact focus. Fact Focus drills basic math facts and measurement equivalents. Lessons 5, 10, and 16 of each unit are quiz or test lessons. Most material has been reviewed five times before it is quizzed or tested. Quiz and test lessons include optional enrichment activities. They are neither reviewed nor tested. They are optional and just for fun. The Glossary , Reference Charts, and Index are reference materials to help students work independently. Mathematics 6 will equip students with tools that will enable them to apply principles to math in everyday life. It enables students to see the beauty in numbers and to learn to appreciate math. We believe that mathematics should help students achieve the ultimate goal—loving, serving, and bringing glory to God. Course Materials › Mathematics 6 Textbook › Student Packet Worksheets Tests Quizzes Speed/Mastery Drills › Teacher’s Guide Resource CD › Full Solution Answer Key
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IntroductionFor Parents and Teachers
Mathematics 6 combines proven teaching methods with colorful pictures and illustrations to teach
students basic math facts and concepts. Its use of practical applications helps students relate to math in
the real world. Its incremental approach and spiral review (teaching concepts in small increments and
continuous review) make Mathematics 6 an effective math course. The consistent, systematic review helps
students retain what they have learned. The goal is mastery, not just exposure.
How to Use Mathematics 6
Each unit follows a theme, introduced by a story and photographs relating to the theme. Many nuggets of
information follow this theme.
The header in each lesson tells what unit and lesson is taught that day. It also tells which speed or mastery
drill to administer.
The colored teaching box beginning each lesson teaches the new concept, followed by exercises
to reinforce the concept. This concept is reviewed again just before Sharpening Your Skills.
We Remember follows the teaching lesson and its reviews. It also reviews concepts taught in earlier
lessons. Students should be able to work through these exercises independently. A small reference
number after each exercise indicates the page number where the concept was taught.
Sharpening Your Skills drills students in basic computation (using any of the four math operations), mental
math, and fact focus. Fact Focus drills basic math facts and measurement equivalents.
Lessons 5, 10, and 16 of each unit are quiz or test lessons.
Most material has been reviewed five times before it is quizzed
or tested. Quiz and test lessons include optional enrichment
activities. They are neither reviewed nor tested. They are
optional and just for fun.
The Glossary, Reference Charts, and Index are reference
materials to help students work independently.
Mathematics 6 will equip students with tools that will
enable them to apply principles to math in everyday life. It
enables students to see the beauty in numbers and to learn
to appreciate math. We believe that mathematics should help
students achieve the ultimate goal—loving, serving, and
(thē ä’ dƏ līt’) to measure angles and directions for road-building
and other kinds of construction. You may have seen road surveyors
with their instruments mounted on a tripod for sighting faraway slopes and corners.
Materials Needed To Make a Theodolite
• drinking straw • piece of string
• square of cardboard • screw
• tape measure • tape
Directions To Make a Theodolite
1 Cut a 6 × 6 inch square from a piece of cardboard.
2 Cut the square in half diagonally.
3 Tape the straw to the diagonal side of one of the pieces of cardboard.
4 Cut a 10-inch piece of string and tie the screw on one end.
5 Tape the other end of the string to the triangle so that it hangs straight down along one of the 6-inch edges.
How To Use a Theodolite
1 Find a tall object to measure, such as a tree or a house.
2 Raise the theodolite to eye level and look through the straw.
3 Move backward or forward to find the top of the object through the straw.
4 Make sure the string stays straight along the edge of the triangle.
5 Mark your standing position on the ground.
6 Measure the distance from your standing position to the base of the object.
7 Measure your own height.
8 Add the distance to the base of the object to your height.
9 This should be the height of your object.
FascinatingDiscoveries
Changing Amounts on a Recipe
Lesson 6 – Changing Amounts on a Recipe 411
Solve the word problems.
1. The biscuit recipe calls for 34 cup of milk. Grandmother wants to make half the recipe. How much milk does she need for the biscuits?
2. Joseph likes to make chocolate chip cookies. He wants to double the recipe to have enough to share with the whole family. If the recipe calls for 34 cup of chocolate chips, how many chocolate chips does Joseph need?
Changing Amounts on a Recipe
Mastery Drill 6Unit 10
6
A recipe often tells how many
people it serves. To make half
a recipe, divide by 2. To make
a recipe larger, multiply by the
number of recipes needed.
Grandmother plans to make strawberry shortcake for her guests. The recipe makes enough for 8 people.
Grandmother wants to serve
4 people. She uses half the
amount of each ingredient.
This makes enough to serve
4 people.
Later Grandmother wants to
serve 16 people. She doubles
the amount of each ingredient.
This makes enough to serve
16 people.
Recipe for: Strawberry Shortcake
2 c flour 1 c sugar
3 tsp baking powder 1 c milk
tsp salt c butter
2 eggs 1 tsp vanilla
Mix the ingredients and pour into a 9″ × 13″ cake pan. Bake at 375° for 25
minutes. Cut cooled cake into 8 pieces. Crush 2 cups of strawberries. Whip 1 cup
of cream; add sugar to sweeten. For each serving, place a square of cake on a
saucer, spoon strawberries onto the cake, and top with whipped cream. Serves 8.
12
12
14
212 ÷ 2 = n
52 ÷
21 = n
52 ×
12 =
54 = 1
14
14 × 2 = n14 ×
21 =
24 =
12
2 12 ÷ 2 = n
n = 114 cups flour
14 × 2 = n
n = 12 cup of butter
How much flour does she need to make enough to serve 4 people?
How much butter does she need to make enough to serve 16 people?