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Curriculum Framework - Grade 10

 

Session

Benchmarks

Topic

 

Number Sense, Concepts, and Operations

 
1 MA.8.G.6.2
Relative size of numbers-Compare and order fractions, decimals, and percents, including finding their approximate location on a number line.
2 MA.912.A.1.1 Equivalent forms of numbers-Know equivalent forms of real numbers (including integer exponents and radicals, percents, scientific notation, absolute value, rational numbers, irrational numbers).
3 MA.912.A.1.4
Determining effects of multiple operations-Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, irrational numbers) using multi-step and real-world problems.
4 MA.912.A.1.4 Order of operations-Apply Order of operations for the given situations
5 MA.7.A.1.2
Solving real-world problems-Solve percent problems, including problems involving discounts, simple interest, taxes, tips, and percents of increase or decrease.
6 MA.7.A.3.2
MA.8.A.6.4
Solving real-world problems involving fractions/decimals-Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts.
7 Solving real-world problems involving percents-Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.
 

Measurement

 
8 MA.912.G.6.5 Circumference-Solve real-world problems using measures of circumference, arc length, and areas of circles and sectors. 
9
MA.912.G.7.5
MA.912.G.7.5

Volume-Explain and use formulas for volume of solids.
Surface area-Explain and use formulas for lateral area, surface area of solids.
10 MA.912.A.1.5
MA.912.A.1.5
Rate-Use dimensional (unit) analysis to perform conversions between units of measure, including rates.
Time-Time conversions
11
MA.912.A.1.5 

Rated measures-Use dimensional (unit) analysis to perform conversions between units of measure, including rates.
12 MA.8.G.2.4 Pythagorean theorem-Validate and apply Pythagorean Theorem to find distances in real world situations or between points in the coordinate plane.
13
MA.912.A.1.5 

Indirect measurement-Use dimensional (unit) analysis to perform conversions between units of measure, including rates.
14 MA.912.G.2.2 Interior angles of a polygon-Determine the measures of interior and exterior angles of polygons, justifying the method used. 
15
MA.912.G.1.3
MA.912.G.1.3

Parallel lines-Identify and use the relationships between special pairs of angles formed by parallel lines and transversals.
Parallelism-Properties of parallelism
 

Geometry and Spatial Sense

 
16 MA.912.G.2.3 Similarity-Use properties of congruent and similar polygons to solve mathematical or real-world problems. 
17
MA.912.G.2.6

 Similarity- Use coordinate geometry to prove properties of congruent, regular and similar polygons, and to perform transformations in the plane.
18 MA.912.G.7.3 Plane/right circular cylinder-Identify, sketch, find areas and/or perimeters of cross sections of solid objects. 
17 MA.912.G.2.6
MA.912.G.7.5
Transformations-Use coordinate geometry to prove properties of congruent, regular and similar polygons, and to perform transformations in the plane.
Volume & Surface area-Explain and use formulas for lateral area, surface area, and volume of solids. 
18 MA.912.A.2.3 Number Sequence- Numerical sequence, Arithmetic progresssion, Harmonic Progression, 
19
MA.912.A.3.5

Solving multi-step equations-Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.
 

Algebraic Thinking

20 MA.912.A.3.5 Change in Parameters:Symbolically represent and solve multi-step and real-world applications that involve linear equations and inequalities.
21     MA.912.A 2.7                                                                 
Change in Dimension: Determine how changes in dimensions affect the perimeter and area of common geometric figures.
22 MA.912.A.4.2
MA.912.A.3.14
Rational Expression simplification
Solving systems of equations/inequalities-Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.
23 MA.912.A.3.15
Linear equations and inequalities*-Solve real-world problems involving systems of linear equations and inequalities in two and three variables.
Graphing systems of equations/inequalities-Graphing the given equations/inequalities
24 MA.912.S.3.1
MA.912.S.3.1
Circle graphs*-Read and interpret data presented in circle graphs. Determine whether data is presented in appropriate format, and identify possible corrections.
Line graphs-Read and interpret data presented in line graphs. Determine whether data is presented in appropriate format, and identify possible corrections. 

Data Analysis and Probability

 
25 MA.912.S.3.3 Mean-Calculate and interpret measures of the center of a set of data, including mean, median, and weighted mean, and use these measures to make comparisons among sets of data. 
26 MA.912.P.2.1
MA.912.P.2.1
Single event probability-Determine probabilities of single events, and calculate odds for and against the occurrence of events.
27 MA.912.P.2.1 Compound event probability-Determine probabilities of compound events, and calculate odds for and against the occurrence of events. 
28 MA.912.P.1.1 Combinations-Use counting principles, including the addition and the multiplication principles, to determine size of finite sample spaces and probabilities of events in those spaces. 
29 MA.912.S.3.1 Interpretation of data-Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections.
30
MA.912.S.3.1

Evaluating and formulating hypotheses-Read and interpret data presented in various formats. Determine whether data is presented in appropriate format, and identify possible corrections.