# SBS:General Math Skills

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**GENERAL MATH SKILLS**

## Contents |

## Number Sense, Properties, and Operations

**Measurement Topic:** *MA.09.H12 Quantitative reasoning is used to make sense of quantities and their relationships in problem situations*

MA.09E.H12.E1.04 Solve real world whole number problems involving three steps or fewer labeling quantity (e.g. 23 miles, 36 dollars). (PFL)

**Measurement Topic:** *MA.10.H11 The complex number system includes real numbers and imaginary numbers*

MA.10E.H11.E1.04 Add or subtract decimals using manipulatives/tools.

MA.10E.H11.E2.04 Compute simple mathematical problems using the associative and commutative properties with whole numbers.

MA.10E.H11.E3.04 Solve whole number math problems using order of operations using calculator.

MA.10E.H11.E4.04 Solve simple equations that involve multiplication and addition of one (e.g. 2 * ? + 1 = 11) where the sum is less than twenty.

## Patterns, Functions, and Algebraic Structures

**Measurement Topic:** *MA.09.H21 Functions model situations where one quantity determines another and can be represented algebraically, graphically, and using tables*

MA.09E.H21.E1.04 Given a numerical relationship between two variables, find the value of one variable given the value of the other (e.g. X + Y = 7, if X = 5 then find the value of Y).

MA.09E.H21.E2.04 Gather data related to a simple problem and graph the results using manipulatives/tools (e.g. Graph the total cost of a given number of CDs at $10 per CD).

MA.09E.H21.E3.04 Solve simple real world problem using information from graphs or tables.

MA.09E.H21.E4.04 Select the appropriate graphical representation (first quadrant) given a situation involving constant rate of change.

**Measurement Topic:** *MA.09.H22 Quantitative relationships in the real world can be modeled and solved using functions*

MA.09E.H22.E1.04 Explore nonlinear functions using graphs and the real world situations they represent.

MA.09E.H22.E2.04 Predict likely events given location in a real world periodic cycle (e.g. weather patterns, students in the hall during the day).

**Measurement Topic:** *MA.09.H23 Expressions can be represented in multiple, equivalent forms*

MA.09E.H23.E1.04 Demonstrate the commutative property (e.g. 3 x 5 = 5 x 3).

MA.09E.H23.E2.04 Determine gross pay given hours worked rounded to the nearest quarter hour (less than 20 hours) and hourly rate expressed in dollars and cents using a calculator. (PFL)

MA.09E.H23.E3.04 Explore sums and products of even and odd numbers to identify if the answer is even or odd.

MA.09E.H23.E4.04 Compute multiplication problems with zero as a factor.

MA.09E.H23.E5.04 Find equivalent fractions (e.g. 2/4 = 1/2)

**Measurement Topic:** *MA.09.H24 Solutions to equations, inequalities and systems of equations are found using a variety of tools*

MA.09E.H24.E1.04 Create a rule for a function given a table of values using addition (e.g. output = input + 3).

MA.09E.H24.E2.04 Solve a simple equation with like denominators and one variable.

MA.09E.H24.E3.04 Determine overage when the amount available is more than what is required.

MA.09E.H24.E4.04 Find values that satisfy a simple inequality (whole number answers less than 10).

MA.09E.H24.E5.04 Explore a system of linear equations based on real world situations (e.g. How many hours must you work each month to meet your bills?)

MA.09E.H24.E6.04 Explore the graph of a linear function based on real world situations (e.g. How much money do I have if I work a given number of hours?)

## Data Analysis, Statistics, and Probability

**Measurement Topic:** *MA.09.H31 Visual displays and summary statistics condense the information in data sets into usable knowledge*

MA.09E.H31.E1.04 Determine the whole number mean (average) using manipulatives and a frequency chart (data set up to 10).

MA.09E.H31.E2.04 Describe the range of a data set (beginning and end points).

MA.09E.H31.E3.04 Explore the correlation between two variables given a scatter plot (e.g. student weight increases with height).

MA.09E.H31.E4.04 Determine the best value by using a display of quantity and price with manipulative/tools.

## Shape, Dimension, and Geometric Relationships

**Measurement Topic:** *MA.09.H41 Objects in the plane can be transformed, and those transformations can be described and analyzed mathematically*

MA.09E.H41.E1.04 Identify parallel, intersecting and perpendicular lines.

MA.09E.H41.E2.04 Demonstrate congruence of two geometric shapes using translation.

MA.09E.H41.E3.04 Complete an if/then statement related to real life situations.

MA.09E.H41.E4.04 Create geometric shapes using construction tools including technology.

MA.09E.H41.E5.04 Identify the midpoint on a line segment.

**Measurement Topic:** *MA.09.H43 Objects in the plane can be described and analyzed algebraically*

MA.09E.H43.E1.04 Explore conic sections.

MA.09E.H43.E2.04 Explore the possible areas of a rectangle with a fixed perimeter.

**Measurement Topic:** *MA.10.H42 Concepts of similarity are foundational to geometry and its applications*

MA.10E.H42.E1.04 Classify regular polygons (no more than 5 sides) according to their similarities.

MA.10E.H42.E2.04 Describe the properties of right triangles.

MA.10E.H42.E3.04 Demonstrate the similarities of equilateral triangles and squares using 2-D shapes.

MA.10E.H42.E4.04 Identify right angles in the environment.

MA.10E.H42.E5.04 Compare angles and side lengths in a triangle.

MA.10E.H42.E6.04 Demonstrate the longest chord of the circle is the diameter (center point of circle provided).

**Measurement Topic:** *MA.10.H44 Attributes of two- and three-dimensional objects are measurable and can be quantified*

MA.10E.H44.E1.04 Explore the relationship between the volume of a cylinder and a cone or a rectangular prism and a pyramid

MA.10E.H44.E2.04 Explore the two dimensional nets that correspond to three dimensional solids.

MA.10E.H44.E3.04 Identify the shapes that correspond to the faces of three dimensional solids.

**Measurement Topic:** *MA.11.H45 Objects in the real world can be modeled using geometric concepts*

MA.11E.H45.E1.04 Estimate the area of an irregular shape use manipulatives/tools.