Grade 6 Math
Grade 6 Math Plus bridges the gap between elementary and middle school, differentiating the instruction so that struggling students are given the help and knowledge they need to master the concepts, while advanced students are able to accelerate at their own pace. 6th Grade Math course, taught by Theresa Clark.
This course was developed by the International Academy of Science.
Scope and Sequence
Unit 1 – Ratios, Rates, and Proportions
This unit discusses finding greatest common factors using a list of factors and using prime factorization, finding the least common multiple using a list of multiples and using prime factorization. It also covers real world examples, comparing using multiplication, three ways to write ratios, simplifying ratios, finding unit rates, defining proportions, solving problems using proportional relationships, and divisibility rules.
Unit 2 – Fractions, Decimals, and Percents
This unit covers changing decimals to fractions by writing what we say, and changing fractions to decimals by finding equivalent fractions, by dividing the numerator by the denominator, and by memorizing benchmark fractions. Also covered are converting percents to fractions and vice versa, converting percents to decimals and vice versa by using equivalent fractions and by moving the decimal. Other topics include percents greater than 100% and less than 1%, finding percent of a number using bar graphs, proportions, and multiplying by a decimal, solving percent problems, and the connections among fractions, decimals, and percents.
Unit 3 – Decimal Computation
This unit discusses adding and subtracting decimals, a review of whole number multiplication, multiplying and dividing decimals by whole numbers and by decimals, and the standard algorithm for dividing whole numbers.
Unit 4 – Fractions
This unit covers multiplying fractions by whole numbers and by fractions, simplifying before multiplying fractions, reviewing mixed numbers and improper fractions, multiplying mixed numbers, dividing whole numbers and fractions by fractions, dividing mixed numbers, and the connection between multiplying decimals and fractions.
Unit 5 – Integers and the Coordinate Plane
This unit covers real world situations where graphing is useful, graphing, absolute value, comparing and ordering, defining rational numbers, comparing and ordering rational numbers, and locating and graphing ordered pairs.
Unit 6 – Expressions
This unit covers the parts of an expression, writing verbal phrases as expressions, using exponents, numerical expressions, order of operations, algebraic expressions, substitution, the identity properties, using the distributive property to multiply mentally, to rewrite expressions, and to factor expressions, and equivalent expressions.
Unit 7 – Equations
This unit discusses solving equations with substitution, solving and writing one step addition, subtraction, multiplication, and division equations, and solving equations with decimals, with fractions, with fractions using the lowest common multiple, and with cross products.
Unit 8 – Functions and Inequalities
This unit discusses function tables, geometric and arithmetic sequences, function rules, writing equations representing functions, graphing linear functions, real world functions (tables and graphs), inequalities, writing and graphing inequalities, and solving one-step linear inequalities.
Unit 9 – Area
This unit presents a review of polygons and discusses area of parallelograms, triangles, and trapezoids, finding missing lengths of parallelograms, triangles, and trapezoids, polygons on the coordinate plane, and area of composite figures.
Unit 10 – Volume and Surface Area
This unit discusses three-dimensional figures, volume of rectangular and triangular prisms, finding the missing dimensions of prisms, nets, surface area of rectangular prisms, and surface area of rectangular prisms, triangular prisms, and pyramids, all using nets.
Unit 11 – Exploring Statistics
This unit covers statistical questions, measures of center (mean, mode, and median), measures of variation, mean absolute deviation, choosing appropriate measures, shape of data, line lots, histograms, and box plots.