# 7th Grade Homeschool Math Curriculum

We at Time4Learning view ourselves as partners with parents in ensuring that students finish middle school with the skills they need to be successful in high school level courses. For mathematics, in particular, that means providing a standards-based program that is focused on the major math concepts while using many different types of multimedia tools to engage students and inspire a greater interest in mathematics.

## What Do 7th Graders Learn in Math?

A seventh grade math curriculum should cover all the math strands, not just arithmetic. The major math strands for seventh grade curriculum are:

• Number sense and operations
• Algebra
• Geometry and spatial sense
• Ratio and proportional relationships
• Data analysis
• Probability

The ideal math curriculum for 7th grade should be based on these standards while engaging students with fun and varied activities.

## 7th Grade Math Goals and Objectives

A comprehensive 7th grade math curriculum will ensure that students are covering each of these learning targets:

• Develop an understanding of operations with rational numbers.
• Accurately represent rational numbers with decimals.
• Analyze proportional relationships and use them to solve real-world and mathematical problems.
• Draw, construct, and describe geometrical figures and describe the relationships between them.
• Solve real-world and mathematical problems involving angle measure, area, and volume.
• Extend use of the four basic arithmetic operations on whole numbers, fractions, mixed numbers, and decimals.
• Interpret and analyze data presented in a variety of forms.
• Use properties of operations to generate equivalent equations.
• Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities.

## Time4Learning’s 7th Grade Math Lesson Plans

#### Lesson 1: Exponents

Express whole numbers using exponents.

#### Lesson 2: Scientific Notation

Express numbers greater than one using scientific notation and vice versa.

#### Lesson 3: Representation

Write numbers in word, standard, expanded, and scientific notation.

#### Lesson 1: Order of Operations

Apply order of operations to simplify numerical expressions.

#### Lesson 2: Estimation of Whole Numbers

Use estimation to solve problems with whole numbers.

#### Lesson 3: Fractions, Decimals, and Percents

Knows relationships and can convert between fractions, decimals, and percents.

#### Lesson 4: Estimation

Use estimation to solve problems with whole numbers, fractions, decimals, and percents.

#### Lesson 1: Prime and Composite

Identify numbers as prime or composite.

#### Lesson 2: Prime Factorization

Find the prime factorization of whole numbers.

#### Lesson 3: PGCF and LCM

Find the greatest common factor and least common multiple of two numbers.

#### Lesson 1: Ratios and Rates

Identify and use ratios and rates.

#### Lesson 2: Proportional Relationships

Recognize relationships between ratios, proportions, and percents.

#### Lesson 3: Proportions with Tables

Use tables to solve problems with proportions.

#### Lesson 4: Constant Ratios

Use constant ratios to solve problems.

#### Lesson 5: Percents

Solve real world problems involving discounts and mark ups.

#### Lesson 6: Simple Interest

Solve real world problems involving simple interest.

#### Lesson 7: Scale

Identify proportional relationships in scale drawings.

#### Lesson 1: Determining Proportional Relationships from a Table

Determine whether a relationship is proportional by testing for equivalent ratios in a table.

#### Lesson 2: Determining Proportional Relationships From a Graph

Determine proportional relationships from a graph.

#### Lesson 3: Identifying the Constant of Proportionality

Identify the constant of proportionality.

#### Lesson 4: Identifying the Constant of Proportionality from Tables and Graphs

Identify the constant of proportionality from tables and graphs.

#### Lesson 5: Writing Equations for Proportional Relationships

Write equations for proportional relationships.

#### Lesson 6: Explaining the Meaning of Points on a Graph

Explain the meaning of points on a graph.

#### Lesson 1: Describing Situations in Which Opposite Quantities Combine to Make Zero

Describe situations in which opposite quantities combine to make zero.

#### Lesson 2: Modeling Sums of Opposites

Model sums of opposites.

#### Lesson 3: Adding Rational Numbers on Number Lines

Add rational numbers on number lines.

#### Lesson 4: Modeling Distance on a Number Line

Model distance on a number line.

#### Lesson 5: Subtracting Rational Numbers on a Number Line

Subtract rational numbers on a number line.

#### Lesson 6: Applying Distances Using Absolute Values

Apply distances using absolute values.

#### Lesson 1: Additive and Multiplicative Inverses

Identify pairs of additive and multiplicative inverses.

#### Lesson 2: Addition and Subtraction

Add and subtract with positive and negative rational numbers.

#### Lesson 3: Interpreting Sums of Rational Numbers

Interpret sums of rational numbers.

#### Lesson 4: Multiplication and Division

Multiply and divide with positive and negative rational numbers.

#### Lesson 5: Operations

Solve real world problems with fractions, decimals, and integers.

#### Lesson 6: Applying Properties of Operations as Strategies to Add and Subtract

Apply properties of operations as strategies to add and subtract.

#### Lesson 1: Multiplying Signed Rational Numbers

Multiply signed rational numbers.

#### Lesson 2: Interpreting Products of Rational Numbers

Interpret products of rational numbers.

Divide integers.

#### Lesson 4: Interpreting Quotients of Rational Numbers

Interpret quotients of rational numbers.

#### Lesson 5: Applying Properties to Multiply and Divide Rational Numbers

Apply properties to multiply and divide rational numbers.

#### Lesson 1: Expressions

Simplify and evaluate algebraic expressions using integers.

#### Lesson 2: Properties

Generalize properties of real numbers to expressions and equations.

#### Lesson 3: Expressions and Equations

Translate simple one variable word expressions and equations into corresponding symbolic expressions and equations.

#### Lesson 4: Algebraic Expressions

Use algebraic expressions to generalize a pattern.

#### Lesson 5: Simplify Algebraic Expressions

Simplify algebraic expressions with one variable by combining like terms.

#### Lesson 6: Substitution

Substitute values for variables in an equation to verify whether the equation is true.

#### Lesson 7: Solve One-Step Linear Equations

Solve one-step linear equations.

#### Lesson 8: Solve Two-Step Linear Equations

Solve two-step linear equations.

#### Lesson 1: Performing Operations on Linear Expressions

Perform operations on linear expressions.

#### Lesson 2: Writing an Expression in Different Forms to Represent a Situation

Write an expression in different forms to represent a situation.

#### Lesson 3: Solving Multi-Step Problems with Rational Numbers

Solve multi-step problems with rational numbers.

#### Lesson 4: Solving Multi-Step Problems by Converting Rational Numbers Between Forms

Solve multi-step problems by converting rational numbers between forms.

#### Lesson 1: Solving Equations of the Form px + q = r

Solve equations of the form px + q = r.

#### Lesson 2: Solving Equations of the Form p(x + q) = r

Solve equations of the form p(x + q) = r.

#### Lesson 3: Comparing Algebraic and Arithmetic Solutions

Compare algebraic and arithmetic solutions.

#### Lesson 1: Writing and Solving Two-Step Inequalities

Write and solve two-step inequalities.

#### Lesson 2: Graphing and Interpreting Solutions of Inequalities

Graph and interpret solutions of inequalities.

#### Lesson 1: Classify Triangles

Identify and classify triangles.

#### Lesson 2: Interior and Exterior Angles

Find the measure of an interior or exterior angle using an angle relationship.

#### Lesson 3: Angle Measurement

Solve angle measurement problems for triangles.

#### Lesson 4: Pythagorean Relationship

Demonstrate or identify the Pythagorean relationship using models or diagrams.

#### Lesson 5: Pythagorean Theorem

Given two sides of a right triangle, find the length of a third side.

#### Lesson 1: Perimeter and Area

Find the perimeter and area of two-dimensional figures.

#### Lesson 2: Area and Circumference

Find the circumference and area of circles.

#### Lesson 3: Geometric Properties of Lines

Identify and use symbolic notation to denote lines (intersecting, skew, parallel, perpendicular).

#### Lesson 4: Angle Measure

Find the measure of an angle using a protractor or angle relationship.

#### Lesson 5: Application of Properties of Lines and Angles

Describe and apply parallelism and perpendicularity in real world contexts.

#### Lesson 6: Polygons

Compare and describe attributes of regular and nonregular convex polygons (parallelograms, trapezoids, pentagons, hexagons, and octagons).

#### Lesson 7: Regular Polygon Angle Measurements

Find the measure of the interior angles of a regular polygon.

#### Lesson 8: Angle Measurement of Polygons

Find the measure of an angle using a protractor or angle relationship (corresponding, complementary, and supplementary).

#### Lesson 9: Congruent and Similar Polygons

Identify attributes of a figure congruent or similar to a given figure.

#### Lesson 1: Constructing Parallelograms

Construct parallelograms.

#### Lesson 2: Constructing Triangles Using Given Angles

Construct triangles using given angles. (with a protractor and ruler)

#### Lesson 3: Constructing Triangles

Construct triangles.

#### Lesson 1: Attributes

Identify attributes properties of three-dimensional figures.

#### Lesson 2: Volume

Calculate the volume of prisms and cylinders.

#### Lesson 3: Surface Area

Calculate the surface area of prisms and cylinders.

#### Lesson 1: Finding Area of Composite Two-Dimensional Figures

Find the area of composite two-dimensional figures.

#### Lesson 1: Measurement

Measure length, weight, capacity, and volume using customary or metric units.

#### Lesson 2: Mass and Volume

Know the relationship between mass and volume and solve problems.

#### Lesson 3: Compare Units

Compare units within each system.

#### Lesson 4: Rate, Time and Distance

Develop and apply d=rt to solve problems for rate, time, and distance.

#### Lesson 5: Estimation of Measurements

Estimate measurements of length, weight, volume or capacity.

#### Lesson 6: Problem Solving

Perform operations on measurements within each system.

#### Lesson 7: Conversions

Solve problems involving conversions within the same system.

#### Lesson 1: Ordered Pairs

Identify and plot ordered pairs in four quadrants and along the axes.

Identify quadrants and characteristics of points.

#### Lesson 3: Tables and Graphs

Recognize correspondence between a set of points in a table and a set of points plotted in a coordinate plane.

#### Lesson 4: Graph Real World Data

Represent real-world data using graphs.

#### Lesson 5: Function Tables and Graphs

Recognize whether a set of points given in a table or a graph represents a function.

#### Lesson 1: Graph Linear Equations

Determine that the graph of a linear equation is a straight line.

#### Lesson 2: Interpreting Real World Linear Graphs

Identify points on graphs of linear functions to answer questions about real world situations.

#### Lesson 1: Experimental Results

Obtain results using manipulatives and explain the difference between theoretical and experimental results.

#### Lesson 2: Probability

Calculate probabilities of independent and dependent events.

#### Lesson 3: Odds

Compute odds of simple events.

#### Lesson 1: Data Representations

Interpret and analyze data representations including circle, line, bar, histogram, stem-and-leaf, and box-and-whisker graphs.

#### Lesson 2: Mean, Median and Mode

Calculate the range, mean, median, and mode of data from a table, chart, or graph.

#### Lesson 3: Apply Mean, Median and Mode

Apply and analyze measures of central tendency (mean, median, and mode).

#### Lesson 4: Technology

Use technology to analyze and create graphs given a data set.

## Why Choose T4L Seventh Grade Math Homeschool Curriculum?

Time4Learning’s standards-based curriculum covers all of the 7th grade math learning targets listed above, plus many, many more. It is designed to help students develop conceptual understanding of math while improving their ability to apply mathematics to solve problems.  This approach prepares students for the study of more advanced mathematics in later years.

PreK - 8th

\$24.95
• Monthly, first student
• (\$19.95/mo for each additional PreK-8th student)

9th - 12th

\$34.95
• Monthly, per student
• (\$19.95/mo for each additional PreK-8th student)

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