Grade 7 Math
In the Acellus Grade 7 Math course, after a thorough review of basic operations, Ms. Frogge demonstrates how to solve real-world problems by applying basic concepts of Algebra and Geometry and by using proportional relationships. Students are also shown how to use statistical data to make inferences and how to use and evaluate probability models.
This course was developed by the International Academy of Science.
Scope and Sequence
Unit 1 – Integers
This unit discusses comparing, adding, subtracting, and multiplying integers, including the concepts of opposites, absolute value, and order of operations.
Unit 2 – Decimals
This unit covers Interpreting, comparing, estimating with, rounding, adding, subtracting, and multiplying decimals, as well as dividing decimals by whole numbers and by decimals, and converting percents to decimals.
Unit 3 – Fraction Basics
This unit discusses greatest common factors, least common multiples, what fractions mean, how to reduce them, how to convert mixed fractions to improper fractions and vice versa, how to convert fractions to terminating and to repeating decimals, and ordering rational numbers.
Unit 4 – Fraction Operations
This unit covers finding a common denominator, then delves into adding, subtracting, multiplying, and dividing simple fractions, mixed numbers, rational numbers, and negative fractions.
Unit 5 – Fraction Expressions
This unit presents algebraic vocabulary regarding expressions and equations, evaluating expressions, simplifying and expanding expressions with integers and rational numbers, adding and subtracting rational coefficients, factoring algebraic expressions, recognizing equivalent expressions, and translating expressions.
Unit 6 – Equations and Inequalities
This unit covers writing equations, solving one- and two-step equations and equations with rational numbers and with variables on both sides. It also covers writing, graphing, and solving inequalities, as well as inequality word problems.
Unit 7 – Angles
This unit discusses adjacent, complementary, supplementary, reflex, and vertical angles, as well as angles that share a vertex, triangles and angles, and drawing triangles.
Unit 8 – 2D Figures
This unit discusses area of parallelograms, triangles, and trapezoids, area and circumference and of circles, and area of irregular figures.
Unit 9 – 3D Figures
This unit covers identifying 3D figures and nets, cross sections, and surface area and volume of prisms, pyramids, cylinders, and composite figures.
Unit 10 – Rates and Ratios
This unit discusses ratios, basics of proportions and proportions with fractions and percents, unit rate, scale factor, using a scale to calculate length, areas in scale drawings, and scaled drawings with different scales.
Unit 11 – Proportionality
This unit covers direct proportionality in tables, graphs, verbal descriptions, and equations, and inverse proportionality in tables, graphs, and verbal descriptions.
Unit 12 – Statistics and Probability
This unit discusses mean, mode, median and range, box and whisker plots, random sampling, comparing data sets, probability models with categorical data and with frequencies, theoretical and experimental probability, and independent and dependent events.