4 |
- compare and order fractions (i.e., halves, thirds, fourths, fifths, tenths) by considering the size and the number of fractional parts (e.g., 4⁄5
is greater than 3⁄5 because there are more parts in 4⁄5;
1⁄4 is greater than 1⁄5
because the size of the part is larger in 1⁄4);
|
5 |
- represent, compare, and order fractional amounts with like denominators, including proper and improper fractions and mixed numbers, using a variety of tools (e.g., fraction circles, Cuisenaire rods, number lines) and using
standard fractional notation;
|
6 |
- represent, compare, and order fractional amounts with unlike denominators, including proper and improper fractions and mixed numbers, using a variety of tools and using standard fractional notation;
|
6 |
- determine and explain, through investigation using concrete materials, drawings, and calculators, the relationships among fractions, decimal numbers, and percents
|
8 |
- represent, compare, and order rational numbers;
|
8 |
- use estimation when solving problems involving operations with whole numbers, decimals, percents, integers, and fractions, to help judge the reasonableness of a solution;
|
9D |
- simplify numerical expressions involving integers and rational numbers, with and without the use of technology;
|
9D |
- solve problems requiring the manipulation of expressions arising from applications of percent, ratio, rate, and proportion;
|
9D |
- identify, through investigation, properties of the slopes of lines and line segments (e.g., direction, positive or negative rate of change, steepness, parallelism, perpendicularity), using graphing technology to facilitate
investigations, where appropriate
|
9P |
- solve problems requiring the expression of percents, fractions, and decimals in their equivalent forms
|
9P |
- simplify numerical expressions involving integers and rational numbers, with and without the use of technology;*
|