Honors Math 2 Learning Targets
----- 1st Semester -----
Geometry Learning Targets
"I can....."
0.1 solve using the Pythagorean Theorem
0.2 define trig ratios of given triangles and use to solve for missing sides
0.3 Define points, lines, planes, and use the distance formula
0.4 identify and utilize angle relationships (linear pairs and vertical angles, etc)
0.5 find the perimeter and area of 2-dimensional figures
0.6 find the surface area and volume of 3-dimensional figures
0.7 apply the distributive property both forwards and backwards (factoring out)
0.8 express relations as tables, graphs and mappings and interpret graphs
0.9 determine if a graph is linear or nonlinear and point out characteristics of the graph
0.10 solve multi-step equations with variables on both sides
0.11 isolate and solve for a single variable within a formula
0.12 find slope of a line from a graph and from two points on the line
0.13 solve systems of linear equations by elimination
0.14 solve systems of linear equations by substitution
0.15 apply exponent properties for products and quotients (watch 2 videos and try this practice) and properties for zero and negative exponents (extra negative exponent practice here)
0.16 factor and solve quadratics when leading coefficient is 1
0.17 factor and solve quadratics where leading coefficient is not 1
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2.1 Write and evaluate conjectures based on patterns (watch video then speak with Swenson)
2.2 Understand unions, intersections, and compliments, and write and read truth tables
2.3 Analyze ‘if-then’ statements, write converse/inverse/contrapositive(watch video, then speak with Swenson)
2.4 Use deductive reasoning to prove statements or find counterexamples
2.6 Write and follow algebraic proofs (no Khan Academy for this one – talk to Swenson for make-up)
2.7 Prove segment relationships (complete Khan Academy, then speak to Swenson for a proof)
2.8 Prove angle relationships (complete Khan Academy, then speak to Swenson for a proof)
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3.2 Using alternate interior, consecutive interior, and alternate exterior angles to find angle measurements.
3.5 Use angle relationships to prove parallel lines (complete Khan Academy, then speak to Swenson for a proof)
3.6 Find distances between lines, points, and parallel lines
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4.1 Identify triangles by their angle and side measures
4.2 Apply Triangle Angle-Sum and Exterior Angle Theorems
4.3 Use corresponding parts of congruent triangles to solve triangles
4.4 Use Side-Side-Side and Side-Angle-Side Congruence Postulates (4.4/4.5 are the same, just do once!)
4.5 Use Angle-Side-Angle and Angle-Angle-Side Congruence Postulates
4.6 Use properties of Isosceles and Equilateral Triangles to find unknown pieces”
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5.1 Identify and use the properties of triangle bisectors
5.2 Identify and use the properties of triangle medians and altitudes, including finding centroids and orthocenters
(watch video then speak with Mr. Swenson)
5.4 Write indirect proofs (watch video then speak with Mr. Swenson)
5.3/5.5 Write and use triangle inequalities
5.6 Write and use inequalities in two triangles (no learning target for this one, speak with Mr. Swenson instead)
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6.1/6.2 Find the interior angle sum of polygons and use properties of parallelograms
6.3 Test for parallelograms and rectangles using the properties of each
(no Khan Academy for this one, speak with Mr. Swenson to improve your grade.)
6.5 Identify and use properties of rhombi and squares
6.6 Identify and use properties of trapezoids and kites (watch video and then speak with Mr. Swenson)
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7.1/7.7 Use ratios, solve proportions, and read/use scale drawings.
7.2 Know and apply the properties of similar polygons
7.3 Identify similar triangles
7.4 Use properties of parallel lines and proportional parts
(no Khan Academy for this one, just speak with Mr. Swenson after completing quiz corrections)
7.5 Find parts of similar triangles
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8.2 Use the Pythagorean Theorem and its converse
8.4 Apply the three trig functions and their inverses
8.3 Use the properties of special right triangles to find missing pieces
8.5 Solve problems involving angles of elevation and depression
8.6 Apply the Law of Sines and the Law of Cosines
8.7 Add and subtract vectors graphically and in component form
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10.1 Use the radius, diameter, and circumference of a circle to find missing values
10.2 Apply the properties of arcs to find missing pieces within a circle
10.3 Apply the properties of chords to find missing pieces within a circle (talk to Mr. Swenson about this one)
10.4 Identify and find values for inscribed angles
10.5/10.6 Use the properties of tangents, secants, and angles with respect to a circle
10.7 Apply the properties of chord segments, secant segments, and tangent segments within a circle
----- 2nd Semester -----
Algebra 2 Learning Targets
"I can…."
3.1 Solve Systems of Equations using the substitution or Elimination methods
3.2 Solve Systems of Inequalities by graphing
3.3 Solve problems using linear programming and systems of inequalities (just watch video – no practice problems)
3.4 Solve systems of equations with 3 variables algebraically (just watch video – no practice problems)
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M.1 (Matrix Unit) I can identify dimensions of a matrix and perform basic operations with matrices
M.2 (Matrix Unit) I can multiply matrices together
M.3 (Matrix Unit) I can use matrix inverses to solve systems of equations (just watch video – no practice problems)
M.4 (Matrix Unit) I can use row reduced echelon form to solve systems of equations (watch video, talk to Swenson)
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4.1a Graph quadratic equations in standard form
4.1b Use quadratics to model real life situations
4.3 Solve quadratic equations by factoring and graphing (no Khan Academy for this one, talk to Swenson)
4.4 Solve quadratic equations resulting in complex numbers and perform basic operations with complex numbers
4.5 Complete the square to solve quadratic equations
4.6 Solve quadratic equations by using the quadratic formula and identify the discriminant of a quadratic equation
4.7 Identify and utilize transformations of the graphs of quadratic functions
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5.1 Perform basic operations (addition, subtraction, multiplication) with polynomials
5.2 Perform long division of polynomials
5.3 Use synthetic division to divide polynomials (just a video, talk to Swenson for an example)
5.4 Analyze graphs of polynomial functions (No Khan Academy for this one, talk to Swenson)
5.5 Solve polynomial functions
5.6 Use the remainder and factor theorems with polynomial functions
5.7 Find roots and zeros of polynomial functions
5.8 Use the Rational Root Theorem to find roots of polynomial functions (watch video, then speak with Swenson)
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6.1 Perform basic operations and function composition on multiple functions
6.2 Find inverse functions and relations
6.3 Graph and transform square root functions and inequalities (just watch the video – no practice problems)
6.4 Find nth roots (watch the video, then speak with Swenson for practice problems)
6.5 Perform operations with radical expressions and rationalize the denominator
6.6 Operate on and with rational exponents, converting expressions between rational and radical notation
6.7 Solve radical equations and inequalities
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8.1 Multiply and divide rational expressions
8.2 Add and subtract rational expressions
8.3 Graph reciprocal functions (no Khan Academy for this one, speak with Swenson instead)
8.4 Graph rational functions
8.5 Understand and utilize variation functions
8.6 Solve rational equations and inequalities
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C.1 (Conics Unit) I can identify parabolas and their components (watch video and talk to Swenson)
C.2 (Conics Unit) I can identify circles and their components (watch both videos and speak to Swenson)
C.3 (Conics Unit) I can identify ellipses and their components (watch video and speak to Swenson)
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Geometry Learning Targets
"I can....."
0.1 solve using the Pythagorean Theorem
0.2 define trig ratios of given triangles and use to solve for missing sides
0.3 Define points, lines, planes, and use the distance formula
0.4 identify and utilize angle relationships (linear pairs and vertical angles, etc)
0.5 find the perimeter and area of 2-dimensional figures
0.6 find the surface area and volume of 3-dimensional figures
0.7 apply the distributive property both forwards and backwards (factoring out)
0.8 express relations as tables, graphs and mappings and interpret graphs
0.9 determine if a graph is linear or nonlinear and point out characteristics of the graph
0.10 solve multi-step equations with variables on both sides
0.11 isolate and solve for a single variable within a formula
0.12 find slope of a line from a graph and from two points on the line
0.13 solve systems of linear equations by elimination
0.14 solve systems of linear equations by substitution
0.15 apply exponent properties for products and quotients (watch 2 videos and try this practice) and properties for zero and negative exponents (extra negative exponent practice here)
0.16 factor and solve quadratics when leading coefficient is 1
0.17 factor and solve quadratics where leading coefficient is not 1
---------------------------------------------------------------------------------------------------------------------------------
2.1 Write and evaluate conjectures based on patterns (watch video then speak with Swenson)
2.2 Understand unions, intersections, and compliments, and write and read truth tables
2.3 Analyze ‘if-then’ statements, write converse/inverse/contrapositive(watch video, then speak with Swenson)
2.4 Use deductive reasoning to prove statements or find counterexamples
2.6 Write and follow algebraic proofs (no Khan Academy for this one – talk to Swenson for make-up)
2.7 Prove segment relationships (complete Khan Academy, then speak to Swenson for a proof)
2.8 Prove angle relationships (complete Khan Academy, then speak to Swenson for a proof)
---------------------------------------------------------------------------------------------------------------------------------
3.2 Using alternate interior, consecutive interior, and alternate exterior angles to find angle measurements.
3.5 Use angle relationships to prove parallel lines (complete Khan Academy, then speak to Swenson for a proof)
3.6 Find distances between lines, points, and parallel lines
---------------------------------------------------------------------------------------------------------------------------------
4.1 Identify triangles by their angle and side measures
4.2 Apply Triangle Angle-Sum and Exterior Angle Theorems
4.3 Use corresponding parts of congruent triangles to solve triangles
4.4 Use Side-Side-Side and Side-Angle-Side Congruence Postulates (4.4/4.5 are the same, just do once!)
4.5 Use Angle-Side-Angle and Angle-Angle-Side Congruence Postulates
4.6 Use properties of Isosceles and Equilateral Triangles to find unknown pieces”
---------------------------------------------------------------------------------------------------------------------------------
5.1 Identify and use the properties of triangle bisectors
5.2 Identify and use the properties of triangle medians and altitudes, including finding centroids and orthocenters
(watch video then speak with Mr. Swenson)
5.4 Write indirect proofs (watch video then speak with Mr. Swenson)
5.3/5.5 Write and use triangle inequalities
5.6 Write and use inequalities in two triangles (no learning target for this one, speak with Mr. Swenson instead)
---------------------------------------------------------------------------------------------------------------------------------
6.1/6.2 Find the interior angle sum of polygons and use properties of parallelograms
6.3 Test for parallelograms and rectangles using the properties of each
(no Khan Academy for this one, speak with Mr. Swenson to improve your grade.)
6.5 Identify and use properties of rhombi and squares
6.6 Identify and use properties of trapezoids and kites (watch video and then speak with Mr. Swenson)
---------------------------------------------------------------------------------------------------------------------------------
7.1/7.7 Use ratios, solve proportions, and read/use scale drawings.
7.2 Know and apply the properties of similar polygons
7.3 Identify similar triangles
7.4 Use properties of parallel lines and proportional parts
(no Khan Academy for this one, just speak with Mr. Swenson after completing quiz corrections)
7.5 Find parts of similar triangles
---------------------------------------------------------------------------------------------------------------------------------
8.2 Use the Pythagorean Theorem and its converse
8.4 Apply the three trig functions and their inverses
8.3 Use the properties of special right triangles to find missing pieces
8.5 Solve problems involving angles of elevation and depression
8.6 Apply the Law of Sines and the Law of Cosines
8.7 Add and subtract vectors graphically and in component form
---------------------------------------------------------------------------------------------------------------------------------
10.1 Use the radius, diameter, and circumference of a circle to find missing values
10.2 Apply the properties of arcs to find missing pieces within a circle
10.3 Apply the properties of chords to find missing pieces within a circle (talk to Mr. Swenson about this one)
10.4 Identify and find values for inscribed angles
10.5/10.6 Use the properties of tangents, secants, and angles with respect to a circle
10.7 Apply the properties of chord segments, secant segments, and tangent segments within a circle
----- 2nd Semester -----
Algebra 2 Learning Targets
"I can…."
3.1 Solve Systems of Equations using the substitution or Elimination methods
3.2 Solve Systems of Inequalities by graphing
3.3 Solve problems using linear programming and systems of inequalities (just watch video – no practice problems)
3.4 Solve systems of equations with 3 variables algebraically (just watch video – no practice problems)
---------------------------------------------------------------------------------------------------------------------------------
M.1 (Matrix Unit) I can identify dimensions of a matrix and perform basic operations with matrices
M.2 (Matrix Unit) I can multiply matrices together
M.3 (Matrix Unit) I can use matrix inverses to solve systems of equations (just watch video – no practice problems)
M.4 (Matrix Unit) I can use row reduced echelon form to solve systems of equations (watch video, talk to Swenson)
---------------------------------------------------------------------------------------------------------------------------------
4.1a Graph quadratic equations in standard form
4.1b Use quadratics to model real life situations
4.3 Solve quadratic equations by factoring and graphing (no Khan Academy for this one, talk to Swenson)
4.4 Solve quadratic equations resulting in complex numbers and perform basic operations with complex numbers
4.5 Complete the square to solve quadratic equations
4.6 Solve quadratic equations by using the quadratic formula and identify the discriminant of a quadratic equation
4.7 Identify and utilize transformations of the graphs of quadratic functions
---------------------------------------------------------------------------------------------------------------------------------
5.1 Perform basic operations (addition, subtraction, multiplication) with polynomials
5.2 Perform long division of polynomials
5.3 Use synthetic division to divide polynomials (just a video, talk to Swenson for an example)
5.4 Analyze graphs of polynomial functions (No Khan Academy for this one, talk to Swenson)
5.5 Solve polynomial functions
5.6 Use the remainder and factor theorems with polynomial functions
5.7 Find roots and zeros of polynomial functions
5.8 Use the Rational Root Theorem to find roots of polynomial functions (watch video, then speak with Swenson)
---------------------------------------------------------------------------------------------------------------------------------
6.1 Perform basic operations and function composition on multiple functions
6.2 Find inverse functions and relations
6.3 Graph and transform square root functions and inequalities (just watch the video – no practice problems)
6.4 Find nth roots (watch the video, then speak with Swenson for practice problems)
6.5 Perform operations with radical expressions and rationalize the denominator
6.6 Operate on and with rational exponents, converting expressions between rational and radical notation
6.7 Solve radical equations and inequalities
---------------------------------------------------------------------------------------------------------------------------------
8.1 Multiply and divide rational expressions
8.2 Add and subtract rational expressions
8.3 Graph reciprocal functions (no Khan Academy for this one, speak with Swenson instead)
8.4 Graph rational functions
8.5 Understand and utilize variation functions
8.6 Solve rational equations and inequalities
---------------------------------------------------------------------------------------------------------------------------------
C.1 (Conics Unit) I can identify parabolas and their components (watch video and talk to Swenson)
C.2 (Conics Unit) I can identify circles and their components (watch both videos and speak to Swenson)
C.3 (Conics Unit) I can identify ellipses and their components (watch video and speak to Swenson)
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