Middle School Math Series: Course 1 Textbook-Software Correlation

Middle School Math Series: Course 1 Textbook-Software Correlation

Table of Contents

Module 1: Fraction and Decimal Operations Chapter 1: Factors, Multiples, Primes, and Composites.....................................1 Chapter 2: Prime Factorization and the Fundamental Theorem of Arithmetic... 2 Chapter 3: Fractions...............................................................................................3 Chapter 4: Decimals...............................................................................................5

Module 2: Ratios, Rates, and Percents Chapter 5: Ratios....................................................................................................6 Chapter 6: Percents................................................................................................ 8

Module 3: Numeric and Algebraic Expressions Chapter 7: Introduction to Expressions................................................................ 9 Chapter 8: Algebraic Expressions (part 1).......................................................... 11

Module 4: One-Step Equations and Inequalities Chapter 8: Algebraic Expressions (part 2).......................................................... 12 Chapter 9: Inequalities and Equations................................................................13

Module 5: Negative Numbers and the Four Quadrants Chapter 10: Integers.............................................................................................15 Chapter 11: The Cartesian Coordinate Plane.................................................... 16

Module 6: Geometric Measurement Chapter 12: Units of Measure.............................................................................. 17 Chapter 13: Area................................................................................................... 18 Chapter 14: Introduction to the Third Dimension.............................................. 20

Module 7: Measures of Central Tendency and Data Displays Chapter 15: Collecting and Displaying Data......................................................22 Chapter 16: Analyzing and Interpreting Data.................................................... 23

Middle School Math Series: Course 1 Textbook-Software Correlation

Chapter Title

Learning Goals

Textbook

CCSSM Key Terms

Factors,

1

Multiples, Primes, This chapter reviews factors, multiples, primes, composites, and divisibility rules.

and Composites

Software Unit

Module 1 Fraction and Decimal Operations

MATHia X

Software Workspace

Collection Connections 1.1 Factors and Multiples

? List factor pairs of numbers. ? Relate factors, multiples, and divisibility.

4.OA.4

? array ? factor pair ? factor ? Commutative Property of

Multiplication ? distinct factors ? perfect square ? multiple ? divisible

Models and More

1.2

Physical Models of Factors and

? Determine factor pairs using arrays and area models. ? Classify numbers using Venn diagrams.

Multiples

4.OA.4 6.NS.4

? area model ? set ? Venn diagram

Sifting for Prime Numbers

1.3

Investigating

Prime and

Composite

Numbers

? Distinguish between prime and composite numbers. ? Identify and use the multiplicative identity.

4.OA.4

? prime numbers ? composite numbers ? multiplicative identity

Divisibility Rules!

1.4

Investigating

? Formulate divisibility rules based on patterns seen in factors. ? Use factors to help you develop divisibility rules.

4.OA.4 ? divisibility rules

Divisibility Rules

Middle School Math Series: Course 1

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Middle School Math Series: Course 1 Textbook-Software Correlation

Chapter Title

Learning Goals

Textbook

CCSSM Key Terms

Prime

2

Factorization and the Fundamental Theorem of

This chapter demonstrates how least common multiples and greatest common factors are used to solve realworld problems.

Arithmetic

Software Unit

The Think Tank

? Determine the prime factorization of a number.

2.1

Prime Factorization and Factor Trees

? Understand the usefulness of prime factors. ? Recognize that each whole number has exactly one prime

factorization.

6.NS.4 6.EE.1

? prime factorization ? Associative Property of

Multiplication ? factor tree ? power ? base ? exponent ? Fundamental Theorem of

Arithmetic

Together Again

2.2

Investigating Multiples and

? Determine the least common multiple of two numbers.

Least Common

Multiples

6.NS.4

? common multiple ? least common multiple

(LCM)

Happenings at Harvest Day

2.3

Investigating

Factors and

? Determine the greatest common factor of two or more numbers.

Greatest

Common Factors

6.NS.4

? common factor ? greatest common factor

(GCF) ? relatively prime numbers

Common Factors

or Common

2.4

Multiples? Using GCF and

? Recognize how to use common factors and common multiples to solve problems.

LCM to Solve

Problems

6.NS.4

MATHia X Software Workspace

Middle School Math Series: Course 1

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Middle School Math Series: Course 1 Textbook-Software Correlation

Chapter Title

Learning Goals

Textbook

CCSSM Key Terms

3

Fractions

This chapter begins with a review of how to model parts of a whole and various fractional representations. Students create their own fraction strips and use them to model operations with fractions. The focus then shifts to the relationship between multiplication and division to understand the procedures for dividing fractions. An emphasis is placed on estimation skills throughout the chapter.

Flags and

3.1

Fractions

? Determine equal parts of a whole.

Modeling Parts of ? Draw different representations of equal parts.

a Whole

4.NF.1 6.NS.1

? fraction ? numerator ? denominator

3.2

You Mean Three Can Be One?

Fractional Representations

? Create different fractional representations using pattern blocks.

? Write fractional statements for different representations given the whole.

? Determine fractional representations given the whole. ? Determine fractional representations given parts of the whole.

5.NF.1 6.NS.1

Rocket Strips

? Create equal parts of a whole.

3.3

Dividing a Whole ? Determine if fractions are equal.

into Fractional

? Graph fractions on a number line.

Parts

4.NF.1 6.NS.1

? unit fraction ? equivalent fractions

Getting Closer

? Estimate fractions by using benchmark fractions.

3.4

Benchmark

Fractions

? Order fractions in ascending order. ? Compare fractions.

4.NF.2 6.NS.1

? benchmark fractions ? inequality

What's My Cut?

? Determine equal portions of a whole. ? Determine equivalent fractions.

3.5

Equivalent

Fractions

? Calculate equivalent fractions using a form of 1. ? Simplify fractions. ? Order fractions.

4.NF.1

? simplest form ? Multiplicative Identity

Property

Trail Mix

? Write number sentences to represent 1.

Adding and

? Create models to represent addition and subtraction of

3.6

Subtracting

fractions.

Fractions with

? Add and subtract fractions with common denominators.

Like and Unlike ? Add and subtract fractions with unlike denominators.

Denominators

4.NF.3.b 4.NF.3.d 5.NF.1 5.NF.2

? common denominator ? least common

denominator (LCD)

Software Unit

MATHia X Software Workspace

Middle School Math Series: Course 1

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Middle School Math Series: Course 1 Textbook-Software Correlation

Chapter Title

Learning Goals

Textbook

Trail Mix

Extravaganza

? Create models to represent mixed numbers.

3.7

Improper

Fractions and

? Write mixed numbers as improper fractions. ? Write improper fractions as mixed numbers.

Mixed Numbers

CCSSM Key Terms

4.NF.3.c 5.NF.1 6.NS.1

? mixed number ? improper fraction

Pizzas By the

Slice--or the

3.8

Rectangle!

Parts of Parts

? Create models to represent parts of parts. ? Analyze various methods for multiplying fractions. ? Multiply fractions.

5.NF.4.a 5.NF.4.b 5.NF.6 6.NS.1

3.9

Yours Is to Reason Why!

Parts in a Part

? Determine how many groups of a certain size are in a number. ? Create a representation for division problems. ? Divide fractions.

6.NS.1

? reciprocal ? Multiplicative Inverse

Property ? multiplicative inverse

Divide Your Time

Well, and Your Trail Mix, and 3.10 Your ...

? Determine how many groups of a certain size are in a number. ? Create a representation for division problems involving mixed

numbers.

6.NS.1

Mixed Number

? Divide fractions involving mixed numbers.

Division

Software Unit

MATHia X Software Workspace

Fraction Division

Workspace 1: Workspace 2: Workspace 3:

Workspace 4:

Representing Fraction Division Interpreting Remainders Using Models Developing the Fraction Division Algorithm Multiplying and Dividing Rational Numbers

Middle School Math Series: Course 1

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