Are your students ready to rock Algeba?

ARE YOUR STUDENTS READY TO ROCK ALGEBRA?

Mr. Brian GottschalkMath Department Coordinator Wisconsin Lutheran High School

15 For this reason, ever

since I heard about your

faith in the Lord Jesus and

your love for all God’s

people, 16 I have not

stopped giving thanks for

you, remembering you in

my prayers.

Ephesians 1: 15-16

Objectives

Background

Define Algebra 1

Tools to Track Algebra Readiness

Suggestions from YOUR High School Partner

Algebra Support (IXL)

Questions

My Background

WLHS Math Teacher for 19 years

WLHS Math Coordinator for 13 years

Married for 17 years

3 boys and girl on the way

Background

Masters in C&I from CUW focus on Coherent Curriculum and Math Success

Love to Make Math Rock!

Your Background…

Any questions or thoughts you are hoping to get

answered?

• Name

• Where do you currently serve?

WHY MATH IS IMPORTANT!!!

Defining Algebra

Algebra. (2019, October). Merriam Webster Dictionary.

Retrieved https://www.merriam-webster.com/dictionary/algebra

Definition of algebra

A generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic

Algebra is the gateway course to secondary mathematics

Transition from Abstract Static Thinking (using abstract numbers)

Abstract Dynamic Thinking

(Using Variables)

1

2+5

2= 3 𝑥 + 𝑦 = 3

WHAT IS ….

Levels of Algebra 1

Elementary Algebra (6th-8th CCSS + HS)

Intermediate Algebra (CCSS HS)

WLHS Curriculum is based on CCSS

Textbook

Holt McDougal Algebra 1, Larson, Boswell, Kanold, Stiff

WLHS Algebra 1 Curriculum: Elementary Algebra*CCSS 6th-8th

Unit 1 Title: Foundations of Algebra (Numbers and Operations) Range of Days: 22-27

Department Outcomes/

Goals

1.1, 1.2, 2.1, 2.2, 2.3, 3.1, 4.1, 4.2, 4.3, 5.2

Standards Applied

(Reference numbers)

12.N.Q.1

12.N.Q.3

Guaranteed Learning

Targets

“Students will learn to...

● *Write and evaluate algebraic expressions.

● *Simplify numerical and algebraic expressions using the order of operations.

● *Evaluate a numerical and algebraic expression involving multiple forms of

rational numbers, including absolute value.

● *Apply properties of real numbers.

● *Describe the difference between rational and irrational numbers.

● *Simplify numerical and algebraic expressions involving the properties of real

numbers.

● *Use significant digits to report limitations on measurements of quantities.


Textbook Sections to

Reference

1.1 Evaluating Expressions

1.2 Order of Operations

1.3 Day 1 Write Expressions

1.3 Day 2 Conversions with Dimensional Analysis

1.4 Writing Equations

2.1 Integers and Rational Numbers

2.2 Adding Real Numbers

2.3 Subtracting Real Numbers

2.4 Multiply Real Numbers

2.5 Distributive Property

2.6 Dividing Real Numbers

PRE-ALGEBRA


Unit 2 Title: Exponents and Scientific Notation Range of Days: 11-13


Goals

1.1, 1.2, 2.1, 2.2, 2.3, 3.1, 4.1, 4.2, 4.3, 5.2

Standards Applied

(Reference numbers)

12.N.RN.1, 12.N.RN.2, 12.N.RN.3

12.N.Q.1, 12.N.1.3

Guaranteed Learning

Targets


● *Apply exponential properties to simplify numerical and algebraic

expressions.

● *Convert a number into scientific notation and back into a decimal.

● *Apply exponential properties to numbers in scientific notation.

● *Convert numbers between decimal and scientific notation.

● *Write and evaluate equations as seen in exponential growth and decay

models.


Textbook

Sections to

Reference

8.1 Multiplicative Properties of Exponents

8.2 Division Properties of Exponents

8.3 Zero and Negative Exponents/ 8.3 Fractional

Exponents

8.4 Scientific Notation



Unit 3 Title: Solving Equations (Linear, Absolute and Quadratic) Range of Days: 25-30


Goals

1.1, 1.2, 2, 3.1, 4.1, 4.2, 4.3, 5.2

Standards Applied

(Reference numbers)

12.N.Q.1, 12.N.Q.2, 12.A.SSE.1, 12.A.CED.1, 12.A.CED.2, 12.A.CED.3, 12.A.CED.4,

12.A.REI.1, 12.A.REI.2, 12.A.REI.3, 12.G.STR.8, 12.G.MG.1, 12.G.MG.2

Guaranteed Learning

Targets


● *Find square roots of positive numbers.

● *Simplify numeric and algebraic radicals.

● *Use square roots to solve basic quadratic equations.

● *Rewrite formulas and equations by solving for a variable.

● *Solve for missing sides of a right triangle using the Pythagorean Theorem.

● *Explain how the distance formula originates from the Pythagorean Theorem.

● Find the distance and midpoints of a line segment

● *Use real world applications to create and solve proportions.

● *Create and solve equations involving percents and ratios.

● Solve absolute value equations.



Reference

Test #1

3.1 Solve 1 Step Equation

3.2 Solve 2 Step Equations

3.3 Day 1 Simplifying Expressions & Distribution/Day 2 Multi Step Equations

3.4 Special Equations

3.8 Equations/Formulas with multiple variables

6.5 Absolute Value Equation

11.2 Roots, Real Numbers, and Simplifying Radicals

11.3 Solving Radical Equations

11.5 Apply Distance and Midpoint

10.4 Using Square Roots to Solve Equations

Test #2

3.5 Ratios and Proportions

3.6 Solving Proportions using Cross Products

3.7 Percent Equations

3.7 Percent of Change



https://www.foxtrot.com/2016/09/11/pizza-math/

https://www.foxtrot.com/2016/09/11/pizza-math/


Unit 4 Title: Lines Range of Days: 35-40


Goals

1.1, 1.2, 2.1, 2.2.1, 2.2.2, 2.2.3, 3.1, 3.3, 4.1, 4.2, 4.3, 5.2

Standards Applied

(Reference numbers)


12.A.REI.10, 12.F.IF.1, 12.F.IF.2, 12.F.IF.5, 12.F.IF.6, 12.F.IF.7, 12.F.IF.8, 12.F.BF.1,

12.F.LE.1, 12.F.LE.2, 12.F.LE.5, 12.G.GPE.5, 12.S.ID.6, 12.S.ID.7, 12.S.ID.8, 12.S.ID.9

Guaranteed Learning

Targets


● *Explain the difference between a relation and a function.

● *Plot points on a coordinate plane and identify the axes.

● *Define and identify the terms domain, range, input, and output.

● *Identify and explain using a graph and/or table if a relation can be represented

as a function.

● *Use function notation to identify inputs and outputs.

● *Find x and y intercepts graphically, algebraically, and using a table.


Unit 4 Title: Lines (Continued) Range of Days:

35-40


Goals

1.1, 1.2, 2.1, 2.2.1, 2.2.2, 2.2.3, 3.1, 3.3, 4.1, 4.2, 4.3, 5.2

Standards Applied

(Reference numbers)

12.N.Q.1, 12.N.Q.2, 12.A.SSE.1, 12.A.CED.1, 12.A.CED.2, 12.A.CED.3, 12.A.CED.4, 12.A.REI.10,

12.F.IF.1, 12.F.IF.2, 12.F.IF.5, 12.F.IF.6, 12.F.IF.7, 12.F.IF.8, 12.F.BF.1, 12.F.LE.1, 12.F.LE.2,

12.F.LE.5, 12.G.GPE.5, 12.S.ID.6, 12.S.ID.7, 12.S.ID.8, 12.S.ID.9

Guaranteed Learning

Targets


● *Graph linear equations functions on a coordinate plane using a table of values,

intercepts, slope and y-intercept, and slope and a point.

● *Find the slope algebraically and graphically.

● *Interpret slope as the rate of change to apply to real-world examples.

● Rewrite equations in the forms: slope-intercept and standard form.

● *Identify slopes of parallel and perpendicular lines.

● Write equations of lines using given information: slope and y-intercept, slope and a point, two

points, and slope of parallel or perpendicular lines.

● Find the linear regression of a set of points.

● Write and graph direct variation equations.

● Perform and describe linear transformations on a coordinate plane.


Unit 4 Title: Lines (Continued)

Range of Days: 35-40


Goals

1.1, 1.2, 2.1, 2.2.1, 2.2.2, 2.2.3, 3.1, 3.3, 4.1, 4.2, 4.3, 5.2

Standards Applied

(Reference numbers)


12.A.REI.10, 12.F.IF.1, 12.F.IF.2, 12.F.IF.5, 12.F.IF.6, 12.F.IF.7, 12.F.IF.8, 12.F.BF.1,

12.F.LE.1, 12.F.LE.2, 12.F.LE.5, 12.G.GPE.5, 12.S.ID.6, 12.S.ID.7, 12.S.ID.8, 12.S.ID.9

Guaranteed Learning

Targets


Calculator/Technology Objectives:

● Use TI/technology to create an input/output tables.

● Use TI/technology to create a scatter plot.

● Use TI/technology graph linear equations/functions using an equation and a table.

● Use TI/technology write equations of lines using a graph and a table.

● Use TI/technology use equations to transform lines on the graph.

● Use TI/technology to find the zeros of linear functions.

● Use a technology/TI to find linear regression.



Reference

Unit 5 Test #1 (**Reorder for your class or preference)

1.6 Represent Functions as Rules and Tables

1.7 Represent Functions as Graphs

4.1 Plot Points on the Coordinate Plane

4.2 Graph Linear Equations

4.3 Graph Using Intercepts

4.4 Find Slope and Rate of Change

4.5 Graph Using Slope Intercept Form

1.6 Represent Functions as Rules and Tables

1.7 Represent Functions as Graphs

4.7 Graph linear functions

Unit 5 Test #2

3.8 Rewrite Equations and Formulas

5.1 Write Linear Equations in Slope-Intercept Form

5.2 Use Linear Equations in Slope-Intercept Form

5.3 Write Linear Equations in Point-Slope Form

5.4 Write Linear Equations in Standard Form

5.5 Write Equations of Parallel and Perpendicular Lines




https://www.foxtrot.com/2019/01/13/cell-division/

https://www.foxtrot.com/2019/01/13/cell-division/

WLHS Algebra 1 Curriculum: Elementary Algebra

Unit 5 Title: Solving Linear and Absolute Value Inequalities Range of Days: 15-20


Goals

1.2, 2.1, 2.2.1, 2.2.2, 2.2.3, 3.1 4.1, 4.2, 4.3, 5.2

Standards Applied

(Reference numbers)

12.N.Q.1, 12.N.Q.2, 12.A.CED.1, 12.A.CED.3, 12.A.REI.3, 12.A.REI.12

Guaranteed Learning Targets


● Solve one-step and multi-step inequalities using addition, subtraction, multiplication, and division.

● Graph inequalities on a number line.

● Show multiple representations of real world problems.

● Solve and graph compound inequalities.

● Apply inequalities and compound inequalities to real-world problems.

● Solve absolute value inequalities.

● Write absolute value inequalities.

● Graph inequalities in two variables.


● Use TI/technology to graph and solve inequalities and compound inequalities.

● Use TI/technology to graph and solve absolute value inequalities digitally.


Textbook

Sections to

Reference

6.1 Solve Inequalities with addition and subtraction

6.2 Solve Inequalities using multiplication and division

6.3 Solve Multi Step Inequalities

6.4 Compound Inequalities

6.6 Absolute Value Inequalities



Unit 6 Title: Systems of Equations Range of Days: 15-20


Goals

1.1, 1.2, 2.1, 2.2.2, 2.2.3, 3.1,3.3, 4.1, 4.2, 4.3, 4.4, 5.1, 5.2

Standards Applied

(Reference numbers)

12.N.Q.1, 12.N.Q.2, 12.A.CED.3, 12.A.CED.4, 12.A.REI.3, 12.A.REI.5, 12.A.REI.6,

12.A.REI.11, 12.A.REI.12, 12.F.IF.2, 12.F.IF.7, 12.F.IF.9, 12.F.LE.2

Guaranteed Learning

Targets


● Define a system.

● Solve a linear system graphically by finding the point of intersection.

● Solve a linear system analytically (using substitution and elimination).

● Solve systems of linear inequalities both analytically and graphically.


● Graph two lines on a TI and find the intersection.


Textbook

Sections to

Reference

7.1 Solve Systems by Graphing

7.2 Solve Systems by Substitution

7.3 Solve Systems by Addition or Subtraction

7.4 Solve Systems by Multiplying First

7.5 Solve Special Types of Linear Systems


https://www.foxtrot.com/2017/09/24/math-hipsters/

https://www.foxtrot.com/2017/09/24/math-hipsters/

WLHS Algebra 1 (H) Curriculum: Intermediate Algebra

**Unit 7 Title: Polynomials and Factoring Range of Days: 20-25

Department Outcomes/ Goals 1.2, 2.1, 2.2.2, 2.2.3, 3.1, 4.1, 4.2, 4.3, 5.1, 5.2

Standards Applied

(Reference numbers)

12.A.SSE.2, 12.A.SSE.3, 12.A.APR.1, 12.A.APR.3, 12.A.APR.4, 12.A.REI.4

Guaranteed Learning Targets


● Describe and classify polynomials by degree and the number of terms.

● Add, subtract, and multiply polynomials using various methods, such as vertical, horizontal, FOIL, distributive

property and box method (or AC method).

● Use the special product patterns to multiply polynomials.

● Factor trinomials of the form x^2 + bx + c and ax^2 + bx + c.

● Factor special products using given patterns.

● Factor polynomials completely using a GCF, if necessary.

● Choose a method to factor polynomials completely.

● Solve polynomial equations/functions algebraically.

● Solve quadratics using factoring, completing the square and quadratic formula.


● Solve polynomials (quadratics) by graphing/finding the zeros.


Textbook Sections

to Reference

9.1 Add and Subtract Polynomials

9.2 Multiplying Polynomials

9.3 Find Special Products of Polynomials

9.4 Solve Polynomial Equations in Factored Form

9.5 Factor x^2 +bx + c

9.6 Factor ax^2 +bx + c

9.7 Factor Special Products

9.8 Factor Polynomials Completely

10.3 Solve Quadratic Equations by Graphing

10.5 Solve Quadratic Equations by Completing the Square

10.6 Solve Quadratic Equation by the Quadratic Formula

10.7 Interpret the Discriminant

WLHS Algebra 1(H) Curriculum: Intermediate Algebra



**Unit 8 Title: Non-Linear Functions (Quadratic and Exponential) Range of Days: 15-20


Goals

1.1, 1.2, 2.1, 2.2.2, 2.2.3, 3.3, 4.3, 4.4, 5.1, 5.2

Standards Applied

(Reference numbers)

12.N.Q.1, 12.N.Q.2, 12.A.REI.10, 12.F.IF.8, 12.S.ID.6, 12.F.IF.1, 12.F.IF.9, 12.A.SSE.1, 12.F.IF.2,

12.F.BF.2, 12.A.SSE.3, 12.F.LE.1, 12.A.CED.1, 12.F.IF.4

Guaranteed Learning

Targets


● Identify the distinct characteristics of a linear, quadratic, and exponential functions in the forms:

equation, table, and graph.

● Create an input-output table for various functions, including, but not limited to linear, quadratic,

and exponential.

● Graph and compare various types of functions, such as linear, quadratic, and exponential.

● Create a quadratic and exponential model.


● Graph various functions

● Find the maximum, minimum, zeros and values of functions


Textbook Sections

to Reference

8.5 Write and Graph Exponential Growth Functions

8.6 Write and Graph Exponential Decay Functions

10.1 Graph y = ax^2 +c

10.2 Graph y = ax^2 +bx + c

10.8 Compare Linear, Exponential and Quadratic Models



**Unit 9 Title: Statistics: Graphical Displays Range of Days: 20-25


Goals

1.1, 1.2, 1.3, 2.1, 2.2, 2.4, 2.5, 3.1, 3.4, 4.1, 4.2, 4.3, 4.4, 4.5, 5.2, 5.4.2

Standards Applied

(Reference numbers)

12.N. Q.2, 12.S.ID.1, 12.S.ID.2, 12.S.ID.3, 12.S.ID.5, 12.S.IC.1, 12.S.IC.2, 12.S.IC.6

Guaranteed Learning

Targets


● *Compare measures of central tendency and dispersion.

● *Identify population and sampling methods to analyze surveys of sports fans.

● *Make stem-and-leaf plots to analyze historical data.

● *Make and analyze histograms.

● *Make and interpret box plots.


● · Use excel to create pie charts, histograms, display data found, and analyze data.

Tools for Tracking Algebra Readiness

Standard Testing: 70th percentile or greater

MAP Testing

• MAP 6+ Test RIT score of 235 or greater

ASPIRE Testing

• ASPIRE: 425 or greater

Hardworking, Mature Students

*Note: MAP 6+ RIT score of 245 indicates Geometry Readiness

Curriculums

• Saxon

• Engage New York

• Holt McDougal Larson Pre-Algebra

• Focus on CCSS 6th-8th

• DRILL VS CONCEPT• Answer is BOTH

SUGGESTIONS FROM YOUR HIGH SCHOOL PARTNERSFocus on...

Using the Calculator as a tool; not a CRUTCH.

FRACTIONS and the “BASICS”

Note Taking skills

Focus on…

Encouragements

If students are ready to take Algebra 1 in 8th grade, then challenge them to do so.

Skipping Algebra 1 freshman year allows students to take more advanced courses their senior year like AP Calculus or AP Stats

If a student is not ready to take Algebra 1 in 8th grade, focus on mastering the 6th to 8th

grade CCSS.

Strong understanding and fluency in Pre-Algebra skills will serve them in high school and beyond!

ALGEBRA SUPPORT (IXL)

https://www.ixl.com/

https://www.ixl.com/

Questions?

Contact Information

Brian Gottschalk

Cell: 414-321-5897

[email protected]

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