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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.
Learn more about Time4Learning’s seventh grade math lessons below.
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
Chapter 1: “Number Systems”
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.
Chapter 2: “Rational Operations”
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.
Chapter 3: “Number Theory”
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.
Chapter 4: “Ratio, Proportion and Percent”
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.
Chapter 5: “Proportionality”
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.
Chapter 6: “Integers and Number Lines”
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.
Chapter 7: “Rational Numbers”
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.
Chapter 8: “Multiply and Divide Signed Rational Numbers”
Lesson 1: Multiplying Signed Rational Numbers
Multiply signed rational numbers.
Lesson 2: Interpreting Products of Rational Numbers
Interpret products of rational numbers.
Lesson 3: Dividing Integers
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.
Chapter 9: “Expressions and Equations”
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.
Chapter 10: “Expressions and Equations with Rational Numbers”
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.
Chapter 11: “Solving Special Forms of Equations”
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.
Chapter 12: “Inequalities”
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.
Chapter 13: “Triangles”
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.
Chapter 14: “Plane Geometry”
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.
Chapter 15: “Geometric Constructions”
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.
Chapter 16: “Three-Dimensional Geometry”
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.
Chapter 17: “Composite 2D and 3D Figures”
Lesson 1: Finding Area of Composite Two-Dimensional Figures
Find the area of composite two-dimensional figures.
Chapter 18: “Measurement”
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.
Chapter 19: “Graphing”
Lesson 1: Ordered Pairs
Identify and plot ordered pairs in four quadrants and along the axes.
Lesson 2: Quadrants
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.
Chapter 20: “Linear Relationships”
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.
Chapter 21: “Probability”
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.
Chapter 22: “Data and Statistics”
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.
Learn more about our online seventh grade curriculum, designed to help your child learn and master their fundamental concepts.