## Support For Standards

**SUPPORT FOR STANDARDS**

Only NHPT can provide a yearlong series of lessons that simultaneously covers character education and mathematics standards. Sign up today to sample a course and see how it is done!

NHPT courses can provide support of the Common Core Standards, as shown below. Also refer to the specific curriculum standards for your state. Course content can serve as either remediation or enrichment, depending on the level of the learner.

**Course 1 of NHPT**

Facts of Life: Linking Fractions, Decimals, and Percents

Standards addressed:

**NF.B.3**: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).

**Course 2 of NHPT**

Who Can I Count On: Adding and Subtracting Fractions, Decimals, Integers, and Rational Numbers

Standards addressed:

**NS.1d**: Apply properties of operations as strategies to add and subtract rational numbers.

**Course 3 of NHPT**

Make Me or Break Me: Multiplying and Dividing Fractions, Decimals, Integers, and Rational Numbers

Standards addressed:

**NS.2b**: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number…

**NS.2c**: Apply properties of operations as strategies to multiply and divide rational numbers.

**Course 4 of NHPT**

Parentheses Parents: Using the Distributive Property and Factoring to Write Equivalent Expressions

Standards addressed:

**EE.1**: **Apply properties of operations as strategies to** add, subtract, **factor**, and expand **expressions with rational coefficients**.

#### With a Review of….

**EE.3**: Apply the properties of operations to generate equivalent expressions.

**NS.4**: Find the GCF of two whole numbers less than or equal to 100 and the LCM of two whole numbers less than or equal to 12. Use the __distributive property__ to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

**Course 5 of NHPT**

Fading Friends: Solving Multi-Step Equations

Standards addressed:

**EE.7: Solve linear equations in one variable.**

- Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions….
- Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

*with a review of 7.NS.1b: …Show that a number and its opposite have a sum of 0 (are additive inverses)….

**HSA-REI.B.3: Solve equations and inequalities in one variable.**

**Solve linear equations and inequalities in one variable,**including equations with coefficients represented by letters.

**Course 6 of NHPT**

Being a Better You: Solving and Graphing Multi-Step Inequalities

Standards addressed:

**HSA-REI.B.3: Solve equations and inequalities in one variable.**

**Solve linear equations and inequalities in one variable,**including equations with coefficients represented by letters.

**Course 7 of NHPT**

Mindset Matters: Graphing Linear Equations

Standards addressed:

**F.3**: Interpret the equation *y = mx + b *as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

**F.4**: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two *(x, y) *values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

**HSA-REI.D.10**: Represent and solve equations and inequalities graphically.

- Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

**Course 8 of NHPT**

The Point of It All: Solving Systems of Linear Equations

Standards addressed:

**EE.C.8**: Analyze and solve pairs of simultaneous linear equations.

**8a**: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

**8b**: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

**HSA-REI.C.6**: **Solve systems of equations.**

- Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

**Course 9 of NHPT**

Feeling Empowered: Understanding Powers and Exponents

Standards addressed:

**EE.A.1**: Know and apply the properties of integer exponents to generate equivalent numerical expressions.

**HSN-RN.A.2**: **Extend the properties of exponents to rational exponents.**

#### Rewrite expressions involving radicals and rational exponents using the properties of exponents.

**Course 10 of NHPT**

Giving It a Group Effort: Adding, Subtracting, and Multiplying Polynomials

Standards addressed:

**HSA-APR.A.1**: Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

**Course 11 of NHPT**

Factors of a Productive Group: Factoring Polynomials

Standards addressed:

**HSF-IF.C.8a**: Use the process of **factoring** and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

**HSA-REI.B.4b**: Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula, and **factoring**, as appropriate to the initial form of the equation.

**Course 12 of NHPT**

Teamwork – It’s All About Us: Solving Quadratic Equations

Standards addressed: