MATHEMATICS CURRICULUM MAP ___4___ Grade Table of Contents Overview: I. Best Practices II. Assessment III. Vocabulary IV. Timeline V. Online Resources for All Standards Units by Standard: Unit 1: Place Value of Whole Numbers and Decimals Unit 2: Addition and Subtraction of Whole Numbers and Decimals Unit 3: Multiplication of Whole Numbers Unit 4: Division of Whole Numbers Unit 5: All Operations Unit 6: Fractions Unit 7: Data Representations Unit 8: Measurement Unit 9: Geometry- Points, Lines, and Angles Unit 10: Geometry- Measuring Angles Unit 11: Making Connections Unit 12: Essential Understandings of Fractions
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MATHEMATICS CURRICULUM MAP€¦ · 3. compare and order numbers 4. round numbers 5. place value of decimals through hundredths 6. decimals on a number line 7. compare decimals 8.
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MATHEMATICS CURRICULUM MAP
___4___ Grade
Table of Contents
Overview:
I. Best Practices II. Assessment III. Vocabulary IV. Timeline V. Online Resources for All Standards
Units by Standard:
Unit 1: Place Value of Whole Numbers and Decimals Unit 2: Addition and Subtraction of Whole Numbers and Decimals Unit 3: Multiplication of Whole Numbers Unit 4: Division of Whole Numbers Unit 5: All Operations Unit 6: Fractions Unit 7: Data Representations Unit 8: Measurement Unit 9: Geometry- Points, Lines, and Angles Unit 10: Geometry- Measuring Angles Unit 11: Making Connections Unit 12: Essential Understandings of Fractions
Unit 13: Essential Understandings of All Operations
Best Practices
● Small group ● Modeling ● Guided practice ● Independent practice ● Plans and teaches lessons to support full implementation of mathematics standards ● Supports mathematical communication (student’s ability to explain mathematical process) ● Common math vocabulary ● Uses assessment to support student learning and to guide planning ● Relating concepts to real life situations ● Incorporate word problems within units ● Use concrete examples and have students draw representations of concepts
Physical Environment and Classroom Climate Classroom environment supports mathematics learning. Classroom climate focused on student-centered learning. Math Words Wall Variety of Manipulatives UPS Check Poster Daily Language
Assessment
● Core Practice- Independent Work ● Activities – Showing Understanding ● Quizzes ● Pre/Post-Tests ● Common Assessment ● Observations
Vocabulary
value sum dimensions digit difference perpendicular whole number greatest parallel decimals least angles tenths multiplication measure hundredths division degree expanded notation remainders protractor numerals strip diagrams symmetry fraction equations vertices numerator unknown quantity polygons denominator input-output table volume > (greater than) number pattern mass < (less than) numerical expression data = (equal to) position frequency table addition values dot plot subtraction perimeter stem-and-leaf plot pictorial models area line plot number line rectangle
_____4____ Grade - Concepts
TEKS UNIT # TITLE SKILLS DURATION 4.2A 4.2B 4.2C 4.2E 4.2F 4.2H 4.3G
1 Place Value of Whole Numbers and Decimals
1. Place value through billions 2. 3 forms of numbers: standard, word, and expanded 3. compare and order numbers 4. round numbers 5. place value of decimals through hundredths 6. decimals on a number line 7. compare decimals 8. read and write decimals
10 days
4.2D 4.4A 4.4G 4.10B 4.10E
2 Addition and Subtraction of Whole Numbers and
Decimals
1. Addition 2. Subtraction 3. Add and subtract in word problems 4. Add and subtract money 5. Use estimation 6. Add and subtract decimal numbers 7. Fixed and variable expenses 8. Calculate profit
7 days
4.4B 4.4C 4.4D 4.4G 4.4H 4.5A
3 Multiplication of Whole Numbers
1. Multiplication as repeated addition 2. Square numbers 3. Facts through 10’s 4. Multiply up to a 4 digit number by 1 digit number using various methods 5. Multiply 2 digit by 2 digit numbers using various methods 6. estimation in multiplication
8 days
4.4E 4.4F 4.4G 4.4H 4.5A
4 Division of Whole Numbers 1. Division facts through 10 2. Multiplication and division fact families 3. Model division problems 4. Division word problems 5. Estimation in division problems
11 days
4.4A 4.4H 4.5A 4.5B 4.10A 4.10B
5 All Operations 1. Multi-step problems involving all four operations 2. Strip diagrams and equations with a letter standing for unknown quantity 3. Input/output tables 4. Fixed and variable expenses 5. Calculate profit
14 days
4.2G 4.3A 4.3B 4.3C 4.3D 4.3E 4.3F 4.3G
6 Fractions 1. Relate decimals to fractions that name tenths and hundredths 2. Represent a fraction as a sum of fractions 3. Decompose a fraction in more than one way into a sum of fractions with the same denominator 4. Equivalent fractions 5. Compare fractions 6. Solve addition and subtraction of fractions 7. Evaluate the reasonableness of sums and differences using benchmark fractions 8. Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line
18 days
4.9A 4.9B
7
Data Representations
1. Represent data on a frequency table, dot plot, or stem and leaf plot marked with whole numbers and fractions 2. Solve one and two step problems using data in whole numbers, decimal, and fraction form in a frequency table, dot plot, or stem and leaf plot
7 days
4.5C 4.5D 4.6A 4.8A 4.8B 4.8C
8 Measurement 1. Model perimeter formulas 2. Model area formulas 3. Measurement Benchmarks 4. Customary Units of Length 5. Customary Units of Weight 6. Customary Units of Liquid Volume 7. Mixed Measures 8. Problem Solving- Metric Units of Mass and Liquid Volume 9. Units of Time (Elapsed Time) 10. Add/Subtract, Multiply/Divide Money
14 days
4.6A 4.6B 4.6C 4.6D
9 Geometry- Points, Lines, and Angles
1. Lines, Rays, and Angles 2. Classify Triangles 3. Parallel and Perpendicular Lines 4. Classify Quadrilaterals 5. Symmetry
11 days
4.7A 4.7B 4.7C 4.7D 4.7E
10 Measuring Angles 1. Angles and Fractional Parts of a Circle 2. Degrees 3. Measure and Draw Angles 4. Join and Separate Angles 5. Problem Solving- Unknown Angle Measures
11 days
4.3E 4.4A 4.4H 4.5A 4.5B 4.5D 4.8C 4.9A 4.9B
11
Making Connections
1. Add/Subtract fractions, whole numbers, and decimals 2. One and two-step problems involving multiplication and division 3. Input/Output Tables 4. Area 5. Perimeter 6. Intervals of time 7. Mass 8. Frequency Tables 9. Dot Plots 10. Stem-and-Leaf Plots
14 days
4.2G 4.3A 4.3B 4.3C 4.3D 4.3E 4.3F 4.3G
12 Essential Understandings of
Fractions
1. Decimals to Fractions 2. Represent a fraction as a sum of fractions 3. Decomposing fractions 4. Finding Equivalent Fractions 5. Comparing Fractions 6. Adding/Subtracting Fractions 7. Reasonableness of fractions 8. Fractions and Decimals on a number line
15 days
4.4A 4.4H 4.8C 4.10A 4.10B 4.10C 4.10D
13 Essential Understandings of All Operations
1. Add/Subtract whole numbers, decimals, and fractions 2. One and two-step problems involving multiplication and division 3. Fixed and Variable Expenses 4. Profit 5. Savings Options 6. Spending/Saving/Sharing an Allowance
Determine products of a number and 10 or 100 using properties of operations and
place value understandings.
Formative and
Common Assessment
s
Go Math 7.1
How can we represent the product of 2 two-digit numbers?
Product of 2 two-digit numbers
Represent the product
of 2 two-digit numbers using arrays,
area models, or equations, including perfect squares through 15 by 15.
Go Math 8.3 8.4
4.4D
4.4G
How can we multiply up to a four-digit number by a one-digit number and
multiply a two-digit number by a
two-digit number?
Product of a four-digit number by one-digit and multiply a two-digit
number by a two-digit number
Use strategies and algorithms, including
the standard algorithm, to multiply up to a four-digit
number by a one-digit number and to
multiply a two-digit number by a two-digit number. Strategies include mental math, partial products, and the commutative, associative, and distributive properties.
Go Math 7.3 7.4 7.5 7.6 7.7 7.8 8.4 8.5 8.6 8.7
How can we estimate to find products?
Rounding and using compatible
numbers to estimate
Round to the nearest 10, 100, or 1,000 or use compatible
numbers to estimate
Go Math 7.2 8.2
4.4H
How can we solve one and two-step problems involving multiplication?
Word Problems involving
multiplication
Solve with fluency one-and two-step problems involving
multiplication
Go Math 8.7
4.5A How can we represent multi-step problems for multiplication using strip diagrams and equations?
Strip diagrams and equations
for multiplication
Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.
4.4A How do we use the standard algorithm to add and subtract whole numbers and decimals?
Add and subtract Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm
Formative Assessment
s and Common
Assessments
Go Math 11.2- Addition
11.2- Subtraction
4.4H How do we solve one and two step problems involving
Multiplication and Division
Solve with fluency one and two step problems involving multiplication and
Go Math 11.3 and 11.4
multiplication and division?
division including interpreting remainders
4.5A
How do we represent multi-step problems involving the four operations?
Multi-step problems
Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity
Go Math 11.1 11.2 11.3 11.4
4.5B
How do we represent problems using an input-output table?
Input-output tables
Represent problems using an input-output table and numerical expressions
Go Math 12.1- Number
Patterns 12.2- Find a Rule
4.10A
How do we distinguish between fixed and variable expenses?
Fixed and variable expenses
Distinguish between fixed and variable expenses
Go Math 18.1
4.10B How do we calculate profit?
Profit Calculate profit in a given situation including whole numbers, decimals, addition, subtraction, multiplication and division
Relate decimals to fractions that name tenths and hundredths including whole numbers, decimals, fractions, various visual models, area models, decimal disks, base-10 blocks,
Formative and
Common Assessment
s
Go Math 2.3 and 2.4
money, and fraction language
4.3A
How do we represent a fraction as a sum of fractions?
Represent a fraction as a sum
of fractions
Represent a fraction a/b as a sum of fractions 1/b where a and b are whole numbers and b>0, including when a>b
Go Math 3.5
4.3B How do we decompose a fraction in more than one way into a sum of fractions?
Decompose a fraction into a sum of fractions
Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations
Go Math 3.5
4.3C How do we determine if two fractions are equivalent?
Equivalent fractions
Determine if two given fractions are equivalent using a variety of methods (number line, area model, strip diagram, arithmetic method)
Go Math 3.1, 3.2, 3.3, 3.4
4.3D
How do we compare two fractions?
Compare Fractions
Compare fractions with different numerators and different denominators including benchmarks, common denominators, common numerators
Go Math 4.1 4.2
4.3E How do we represent and solve addition and subtraction of fractions?
Adding and Subtracting Fractions
Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations
Go Math 5.1, 5.2, 5.3, 5.5,
5.6, and 5.7
4.3F How do we evaluate the reasonableness of sums and
Evaluate reasonableness of sums and differences of fractions
Evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, ¼, ½, ¾, and 1,
Go Math 5.4
differences of fractions?
referring to the same whole
Vocabulary: associative property of addition, commutative property of addition, counting numbers, decimal number, denominator, equivalent fractions, fraction, improper fraction, least common denominator, least common multiple, mixed number, proper fraction, strip diagram, unit fraction, whole numbers Advanced Extensions:
Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations
How can we determine if two fractions are equivalent?
Finding equivalent
fractions using a number line,
area model, strip diagram, and an
arithmetic method
Determine if two given fractions are equivalent using a variety of methods.
4.3D
How can we compare fractions?
Comparing Fractions
Compare two fractions with
different numerators and denominators and
represent the comparison using the symbols >, =, or <.
4.3E
How can we add and subtract fractions?
Adding and Subtracting Fractions
Represent and solve addition and subtraction of
fractions with equal denominators
4.3F
4.3G
How can we evaluate the reasonableness of fractions?
Reasonableness of fractions
Evaluate the reasonableness of
sums and differences of fractions using
benchmark fractions 0, ¼, ½, ¾, and 1,
referring to the same whole.
How can we represent fractions and decimals on a number line?
Fractions and Decimals on a number line
Represent fractions and decimals to the tenths or hundredths as distances from zero on a number