Math - 7th Grade

Avon Lake Curriculum Framework

Mathematics- Grade 7 

Course Overview: 

Grade 7 mathematics focuses on integers, rational numbers, fractions, proportions, percentages, probability, equivalent expressions, equations, inequalities, populations/samples and geometry. This course follows the Ohio State standards for seventh grade mathematics. 

Text Books: 

enVision Mathematics Grade 7

Online/Supplemental Materials:

SuccessMaker

Delta Math

Teacher created materials

Assessments: 

Ohio State Test (OST) 

enVision book tests

Teacher created assessments

Projects where appropriate

Standards/Learning Goals

First Quarter 

Integers and Applications

Whole numbers, integers

Modeling with number lines

Consecutive integers

Multiplying and dividing integers

Distributive property with integers 

Intro to rational numbers 

Factors


Fractions and Applications
Converting fractions to decimals 

Converting decimals to fractions 

Operations with real numbers

Extended operations with fractions and decimals 

Complex Fractions

Applications of Proportions
Ratios, rates, and unit rates

Unit pricing

Equivalent ratios 

Constant of proportionality (tables, graphs, and applications)

Solving proportions 

Applications of proportions (scale drawings)

Second Quarter 

Applications of Percents

Converting decimals, percents, and fractions

Connecting percents to proportions 

Percent equation

Percent increase and decrease

Applications of percents (discounts, sales, tax, tips)

Commissions

Simple interest 

Markup and markdown 

Percent change

Percent error



Investigations of Probability
Intro to probability

Probability of single events

Experimental vs Theoretical 

Charts and tree diagrams 

Probability of compound events

Probability of dependent compound events

Simulations to find probabilities


Generate equivalent expressions
Write and evaluate algebraic expressions

Factoring

Adding and subtracting expressions

Analyze equivalent expressions


Linear Equations and Inequalities

Writing two step equations

Solving two step equations

Combining like terms

Distributive property

Applications of equations

Linear inequalities

Graphing solutions on a number line
Applications of inequalities 

Third Quarter 

Linear Equations and Inequalities Continued 


Populations and Samples
Samples and vocabulary

Drawing Inferences

Dot plots

Measures of central tendencies 

Mean Absolute Deviation

Box and whisker plots


Applications of plane figures
2D Geometry

Area of triangles and quadrilaterals
Perimeter of triangles and quadrilaterals 

Area of Circles

Circumference of Circles

Pythagorean Theorem

Composite Shapes and areas

Fourth Quarter 

Applications of plane figures Continued


Applications of 3-D Geometry
Cross Sections

Volumes of prisms and pyramids

Surface Area of prisms and pyramids

Multi step problems with prisms


Application of Geometric Problems
Drawing triangles and polygons

Supplementary and complementary angles 

Triangle sum theorem

Vertical angles

Angles on parallel lines

Algebra Topics if time permits

Revised 

September, 2023