WMS/WHS MATHEMATICS DEPT

ESSENTIAL LEARNING TARGETS

Topic / Pre-Requisite Skills / Learning Target / Standard
Ratios & Proportional Relationships / 4th: Equate fractions and decimals with denominators of 10 and 100.Generate equivalent fractions.
5th: Multiply and divide fractions and decimals.
MS: Write equations in slope-intercept form; Identify slope from tables or graphs; Be able to write and solve proportions. / 6th: I will be able to understand the concept of a ratio and solve real-world problems using equivalent ratios.
7th: I will be able to test whether two quantities are in a proportional relationship with emphasis on percentages.
8th: I will be able to graph proportional relationships, determine their slope, and use proportional relationships to prove figures are similar.
Alg 1: I will be able to calculate the rate of change and initial amount given data.
Geo: I will use proportional relationships to prove figures are similar. (Law of Sines) / 6.RP.1, 6.RP.3
7.RP.2, 7.RP.3
8.G.3, 8.G.4, 8.EE.5, 8.EE.6
S.ID.7
G.SRT.5, (G.SRT.10)
Number System / 4th: Fluently add and subtract.
5th: Fluently multiply and introduce long division (the traditional method).
Being able to apply grouping symbols. / 6th: I will be able to add, subtract, multiply, and divide positive rational numbers.
7th: I will be able to add, subtract, multiply, and divide positive and negative rational numbers.
8th: I will be able to order rational and irrational numbers.
Alg 2: I will be able to simplify complex numbers / 6.NS.1-8
7.NS.1-3
8.NS.1-2
CN.A.1
CN.A.2
Expressions & Equations / 4th: Add, subtract, multiply, and divide with whole numbers.
5th: Write and interpret numerical expressions – knowing which words go with the operation symbols. Be able to apply grouping symbols.
MS: Solve real-life problems with rational numbers; use variables to represent quantities; solve linear equations using distributive property and combining like terms. / 6th : I will evaluate expressions, solve and write one variable one-step expressions and equation.
7th : I will be able to solve one variable two-step equations.
8th : I will be able to solve linear equations and systems of equations.
Alg 1: I will be able to write and solve equations and inequalities in one variable. / 6.EE.1-9
7.EE.3-4
8.EE.1-4, 8.EE.7-8
A.CED.1
3-D Solids / 4th: Classify 2-dimensional figures.Find the area of two-dimensional figures.
5th: Classify 2-dimensional figures. Find the area of rectangles with fractional side lengths.Understand volume and how to apply it to 3-dimensional rectangular prisms.
MS: Area of circles & polygons; apply formulas for Volumes of rect. prisms, cones, cylinders and spheres.
Alg 1: Solving equations. / 6-7th : I will be able to solve real-world geometry problems involving 3-D figures (surface area and volume).
8th : I will be able to use the volume of cylinder, cones and spheres to solve real-world problems.
Geo: I will find the volume, surface area and cross sections of 3D figures. / 6.G.1-4, 7.G.6
8.G.9
G.MD.3
Stats & Probability / MS: Find outcomes of events; understand probability is the likelihood of an event; experimental probability; compound events.
Alg 1: Two-way/Frequency tables. / Geo: I will be able to solve various probabilities problems. (independent, dependent, conditional, permutations, combinations) / S.CP.2, S.CP.7, S.CP.9
Congruence / 6th: Use reasoning about multiplication and division to solve ratio and rate problems.
7th: Use proportions to solve problems.
MS: Identify congruent and similar figures; draw polygons in the coordinate plane; transformations
Alg 1: Transformations of graphs; Know how to use slope to solve problems; solving equations. / 8th : I will be able to identify properties of congruent figures and apply Pythagorean Theorem.
Geo: I will demonstrate triangle congruence. (ASA, SAS, SSS) / 8.G.1, 8.G.2
G.CO.8
Trigonometry & Triangles / MS: Understand ratios; use proportionality; find areas of triangles; use Pythagorean Theorem
Alg 1: Write and solve multi-step equations; re-write and use formulas / Geo: I will use trigonometry (trig. ratios) to solve problems involving triangles. I will apply Pythagorean Theorem to triangles. / 8.G.6-8
G.SRT.6, G.SRT.8, G.SRT.10
Transformations / MS: Transform figures using translations, reflections, rotations; draw polygons in the coordinate plane; identify similar and congruent figures.
Alg 1: Translate, reflect, stretch, shrink and combine transformations of graphs of linear and quadratic functions; solve multi-step equations / Geo: I will perform geometric transformations (translations, dilations, rotations, reflections).
Alg 2: I will identify translations of various graphs. (absolute value, quadratics, exponential, sine/cosine) / G.CO.5, G.SRT.1
F.BF.3
Graphing / MS: Determine if a value is a solution to an equation; solve linear equations with one solution, no solutions, infinitely many solutions; solve linear systems algebraically and graphically; solve one-variable inequalities. / Alg 1: I will find points on a graph that are common between lines and shade an area that fits one or two inequalities.
Alg 2: I will be able to create a scatterplot; find line of best-fit to solve problems in context of the data. (Linear Regression, Quadratic Regression, Cubic, Exponential, etc.) / A.REI.6, A.REI.12
ID.B.6
Quadratics / MS: Evaluate / Simplify radicals; know exponents properties
Alg 1: Know how to simplify radicals; use Quadratic Formula; know how to factor quadratic equations / Alg 2: I will solve quadratic equations that have complex solutions. / N.CN.1, N.CN.2, N.CN.7
Polynomials / EL/MS: Be able to do Long Division (traditional method)
MS: Be able to do Long Division (traditional method); use exponent properties; write & evaluate algebraic expressions
Alg 1: Solve quadratic equations using square roots, factoring or Quadratic Formula; Factor quadratic equations; graph quadratic equations / Alg 2: I will identify the zeros/roots of a polynomial by factoring, graphing or using the Remainder Theorem. / A.APR.2, A.APR.3