Pre-Algebra Standards by Number of CST questions
Number of Questions (each standard) |
Textbook Reference |
Standard | Description |
5 | 6.5-6.7 | NS 1.7* | Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest. |
1.4, 1.8,2.5, 3.1-3.2, 4.4 | AF 1.3* | Simplify numerical expressions by applying properties of rational numbers (e.g. identity, inverse, distributive, associative, commutative) and justify the process used. | |
1.7-1.9, 2.7-2.8, 3.3-3.4, 3.6-3.8 | AF 4.1* | Solve 2-step linear equations and inequalities in ove variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results | |
5.3-5.4, 7.9 | AF 4.2* | Solve multistep problems involving rate, average speed, distance, and time or a direct variation. | |
4 | 1.4-1.6, 2.3-2.6. | NS 1.2* | Add, subtract, multiply, and divide
rational numbers (integers, fractions, and termininating decimals) and take positive rational numbers to whole-number powers |
4.9, 8.4 | MG 3.3* | Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement. | |
3 | 4.3 | NS 2.3* | Multiply, divide, and simplify rational numbers by using exponent rules. |
5.2, 5.4 | MG 1.3* | Use measures expressed as rates (e.g. speed, density) and measures expressed as products (eg. Person-days) to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer. | |
11.2-11.3 | SDP 1.3* |
Understand the meaning of, and be able to compute, the minimum, lower quartile, the median, the upper quartile, and the maximum of a data set. | |
2 | 2.1, 6.1-6.4, 6.6 | NS 1.3 | Convert fractions to decimals and percents and use these representations in estimations, computations, and applications. |
1.3, 1.5 | NS 2.5* | Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers. | |
7.1-7.3, 7.6-7.7, 7.9, 8.5 |
AF 3.3* | Graph linear fuctions, noting that the vertical change (change in y-value) per unit of horizontal change (change in x-value) is always the same and know that the ratio ("rise over run") is called the slope of a graph. | |
7.7, 7.9 | AF 3.4* | Plot the values of quantities whose ratios are always the same (e.g. cost to the number of an item, feet to inches, circumference to diameter of a circle). Fit a line to the plot and understand that the slope of the line equals the quantities. | |
1 | 1.3, 2.2, 4.5 | NS 1.1 | Read, write, and compare rational
numbers in scientific notation (positive and negative powers of 10) with
approximate numbers using scientific notation. |
2.1 | NS 1.5* | Know that every rational number is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions | |
6.5 | NS 1.6 | Calculate the percentage of increases and decreases of a quantity. | |
4.2-4.3 | NS 2.1 | Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base. | |
2.6 | NS 2.2* | Add and subtract fractions by using factoring to find common | |
4.6-4.7 | NS 2.4 | Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an inteer that is not square, determine without a calculator the two integers between which its square root lies and explain why | |
1.2, 1.9, 3.4-3.5, 3.7, 7.3 | AF 1.1 | Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g. three less than a number, half as large as area A) | |
1.1, 4.1 | AF 1.2 | Use the correct order of operations to evaluate algebraic expressions | |
1 | 7.7-7.8 | AF 1.5 | Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph. |
4.1-4.2 | AF 2.1 | Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents. | |
4.4, 4.6 | AF 2.2 | Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent. | |
7.4-7.5 | AF 3.1 | Graph functions of the form y = nx^{2} and y = nx^{3} and use in solving problems | |
0.67 | 5.1, 5.4 | MG 1.1 | Compare weights, capacities, geometric measures, times, and temperatures within and between measurement systems |
8.5, 8.7, 9.1-9.2, 9.4 | MG 3.2 | Understand and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine their image under translations and reflections | |
0.33 | 5.5-5.7 | MG 1.2 | Construct and read drawings and models made to scale |
9.1-9.2, 9.4, 10.1-10.6 | MG 2.1 | Use formulas routinely for finding the perimeter and area of basic 2-dimensional figures and the surface area and volume of basic 3-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. | |
8.3, 9.1, 9.5-9.6, 10.4 | MG 2.2 | Estimate and compute the area of more complex or irregular 2 & 3-dimensional figures by breaking the figures down into more basic geometric objects | |
10.4, 10.7 | MG 2.3 | Compute the length of the perimeter, the surface area of the faces, and the volume of a 3-dimensional object built from rectangular solids. Understand that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor. | |
9.1, 10.2 | MG 2.4 | Relate the change in measurement with a change of scale to the units used (e.g. square inches, cubic feet) and to conversions between units (1 square foot = 144 square inches or [1 ft^{2}] = [144 in^{2}], 1 cubic inch is approximately 16.38 cubic centimeters or [1in^{3}]=[16.38 cm^{3}]. |