Mathematics Toolkit
Curriculum Guidance Materials & Resources
Grade 3-8 Mathematics Testing Program Guidance, Pre-March/Post March |
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Algebra |
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Band Performance Indicator |
Pre- MarchTesting
/Post-March Testing |
Variables and Expressions
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Grade 3 |
None |
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Grade 4 |
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4.A.1 |
Evaluate and express relationships using open sentences with one operation |
Pre-March |
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Grade 5 |
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5.A.1 |
Define and use appropriate terminology when referring to constants,
variables, and algebraic expressions |
Pre-March |
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5.A.2 |
Translate simple verbal expressions into algebraic expressions |
Post-March |
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5.A.3 |
Substitute assigned values into variable expressions and evaluate using
order of operations |
Post-March |
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Grade 6 |
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6.A.1 |
Translate two-step verbal expressions into algebraic expressions |
Pre-March |
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6.A.2 |
Use substitution to evaluate algebraic expressions (may include exponents of
one, two and three) |
Post-March 2 variables in expression |
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Grade 7 |
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7.A.1 |
Translate two-step verbal expressions into algebraic expressions |
Pre-March |
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7.A.2 |
Add and subtract monomials with exponents of one |
Post-March |
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7.A.3 |
Identify a polynomial as an algebraic expression containing one or more
terms |
Post-March |
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Grade 8 |
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8.A.1 |
Translate verbal sentences into algebraic inequalities |
Pre-March |
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8.A.2 |
Write verbal expressions that match given mathematical expressions |
Pre-March |
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8.A.3 |
Describe a situation involving relationships that matches a given graph |
Pre-March |
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8.A.4 |
Create a graph given a description or an expression for a situation
involving a linear or nonlinear relationship |
Pre-March |
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8.A.5 |
Use physical models to perform operations with polynomials |
Pre-March |
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8.A.6 |
Multiply and divide monomials |
Pre-March |
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8.A.7 |
Add and subtract polynomials (integer coefficients) |
Pre-March |
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8.A.8 |
Multiply a binomial by a monomial or a binomial (integer coefficients) |
Pre-March |
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8.A.9 |
Divide a polynomial by a monomial (integer coefficients)
Note: The degree of the
denominator is less than or equal to the degree of the numerator for all
variables. |
Pre-March |
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8.A.10 |
Factor algebraic expressions using the GCF |
Pre-March |
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8.A.11 |
Factor a trinomial in the form ax˛+bx+c; a=1 and c having no more than 3
sets of factors |
Pre-March |
Equations and Inequalities
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Grade 3 |
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3.A.1
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Use
the symbols <, >, = (with and without the use of a number line) to compare
whole numbers and unit fractions (1/2,1/3,1/4,1/5,1/6, and 1/10) |
Post-March for fractions |
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Grade 4 |
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4.A.2 |
Use the symbols <, >, =, and ≠ (with and without the use of a number line)
to compare whole numbers and unit fractions and decimals (up to
hundredths) |
Post-March
for fractions and decimals |
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4.A.3 |
Find the value or values that will make an open sentence true, if it
contains < or > |
Pre-March |
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Grade 5 |
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5.A.4 |
Solve simple one-step equations using basic whole-number facts |
Post-March |
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5.A.5 |
Solve and explain simple one-step equations using inverse operations
involving whole numbers |
Post-March |
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5.A.6 |
Evaluate the perimeter formula for given input values |
Pre-March |
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Grade 6 |
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6.A.3 |
Translate two-step verbal sentences into algebraic equations |
Post-March |
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6.A.4 |
Solve and explain two-step equations involving whole numbers using inverse
operations |
Post-March |
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6.A.5 |
Solve simple proportions within context |
Post-March |
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6.A.6 |
Evaluate formulas for given input values (circumference, area, volume,
distance, temperature, interest, etc.) |
Pre-March |
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Grade 7 |
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7.A.4 |
Solve multi-step equations by combining like terms, using the distributive
property, or moving variables to one side of the equation |
Post-March |
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7.A.5 |
Solve one-step inequalities (positive coefficients only) (See 7.G.10) |
Pre-March |
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7.A.6 |
Evaluate formulas for given input values (surface area, rate, and density
problems) |
Pre-March |
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Grade 8 |
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8.A.12 |
Apply algebra to determine the measure of angles formed by or contained in
parallel lines cut by a transversal and by intersecting lines |
Pre-March |
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8.A.13 |
Solve multi-step inequalities and graph the solution set on a number line |
Post-March |
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8.A.14 |
Solve linear inequalities by combining like terms, using the distributive
property, or moving variables to one side of the inequality (include
multiplication or division of inequalities by a negative number) |
Post-March |
Patterns, Relations and Functions
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Grade 3 |
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3.A.2
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Describe and extend numeric (+,
-) and geometric patterns |
Pre-March |
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Grade 4 |
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4.A.4 |
Describe, extend, and make generalizations about numeric (+,-,×,÷) and
geometric patterns |
Pre-March |
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4.A.5 |
Analyze a pattern or a whole-number function and state the rule, given a
table or an input/output box |
Pre-March |
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Grade 5 |
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5.A.7 |
Create and explain patterns and algebraic relationships (i.e., 2,4,6,8...)
algebraically: 2n (doubling) |
Pre-March |
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5.A.8 |
Create algebraic or geometric patterns using concrete objects or visual
drawings (e.g., rotate and shade geometric shapes) |
Pre-March |
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Grade 6 |
None |
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Grade 7 |
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7.A.7 |
Draw the graphic representation of a pattern from an equation or from a
table of data |
Post-March |
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7.A.8 |
Create algebraic patterns using charts/tables, graphs, equations, and
expressions |
Post-March |
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7.A.9 |
Build a pattern to develop a rule for determining the sum of the interior
angles of polygons |
Post-March |
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7.A.10 |
Write an equation to represent a function from a table of values |
Post-March |
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Grade 8 |
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8.A.15 |
Understand that numerical information can be represented in multiple ways:
arithmetically, algebraically and graphically |
Pre-March |
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8.A.16 |
Find a set of ordered pairs to satisfy a given linear numerical pattern
(expressed algebraically); then plot the ordered pairs and draw the line |
Pre-March |
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8.A.17 |
Define and use correct terminology when referring to function (domain and
range) |
Post-March |
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8.A.18 |
Determine if a relation is a function |
Post-March |
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8.A.19 |
Interpret multiple representations using equation, table of values and graph |
Post-March |
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Key to number: |
3.A.1
3 = 3rd Grade
A = Algebra
1 = Performance Indicator number |
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