During the first nine weeks, the following units will be explored:
Unit 1 – Equivalent Forms – Fractions, Decimals & Percents
6.2(A) classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers;
6.2(C) locate, compare, and order integers and rational numbers using a number line;
6.2(D) order a set of rational numbers arising from mathematical and real-world contexts; and
6.4(G) generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money.
Unit 2 – Ordering Fractions, Decimals & Integers
6.4(E) represent ratios and percents with concrete models, fractions, and decimals;
6.4(F) represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers;
6.4(G) generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money;
6.5(B) solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models; and
6.5(C) use equivalent fractions, decimals, and percents to show equal parts of the same whole.
Unit 3 – Operations with Positive Fractions and Decimals
6.2(E) extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0;
6.3(A) recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values;
6.3(B) determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one; and
6.3(E) multiply and divide positive rational numbers fluently.
Unit 4 – Operations with Integers
6.2(B) identify a number, its opposite, and its absolute value;
6.3(C) represent integer operations with concrete models and connect the actions with the models to standardized algorithms; and
6.3(D) add, subtract, multiply, and divide integers fluently.