Pre-Algebra Program of Studies
Course Description:
This course reinforces arithmetic skills, developing the pre-algebra concepts of variable recognition, signed numbers, formulas and single variable equations. Students will be introduced to algebraic symbolism, simplifying expressions, solutions to elementary equations, and the graphic representations associated with variables.
Measurement Topics:
Algebra: Expressions, Equations, & Inequalities (AEE)
Algebra: Foundational Algebra (AFA)
Number & Quantity: Number Systems (NQN)
Geometry: Coordinate System (GCS)
Number Systems: Fractions, Decimals, & Percents (NSF)
Algebra: Interpreting Functions (AIF)
Geometry: Measurement (GME)
Geometry: Attributes & Properties (GAP)
Prerequisite Learning Targets:
Prerequisite learning targets are essential for success in the course. It is suggested that students have met these learning targets prior to starting the course. Students will have the opportunity to gain or deepen mastery of these targets.
AEE1: Understands written expressions can be written as a numeric expression or equation.
AFA4: Understand how to use parentheses, brackets, or braces to evaluate numerical expressions
NQN2: Is skilled at adding and subtracting integers using a number line.
NQN3: Is skilled at multiplying and dividing integers (this is about using the rules of signs correctly).
GCS2: Understands how to plot points in any quadrant.
AEE2: Is skilled at solving an equation as a process of substitution that makes the statement true
Expected Learning Targets:
Students will have the opportunity to gain mastery of these learning targets.
AEE3: Understands the solution to an inequality results in an infinite set of answers as plotted on a number line
AEE4: Is skilled at solving one step equations using integers. Is skilled at solving one-step inequalities using integers.
AFA5: Understands how to use exponents to evaluate numerical expressions.
NQN5: Understand the rules of exponents (i.e power of product, product of a power). Understand the relationship between multiplication and positive exponents. Understand the relationship between multiplication and negative exponents.
AEE5: Is skilled at solving one step equations using rational numbers. Is skilled at solving one-step inequalities using rational numbers.
NSF13:Is skilled at finding the percent of a quantity
NSF14: Is skilled at using proportional relationships to solve problems.
GME8: Understands reproducing a scale drawing at a different scale of a geometric shape or drawing
AEE7: Understand the process for solving multi-step equations and inequalities.
AIF1: Understand that a function is a rule that assigns to each input (domain) exactly one output (range). Understand the concepts behind rate of change, average rate of change, and initial value for a linear function with regards to the given situation it models
ABS1: Understand the relationship between independent and dependent variables as representative of real-life situations. Understand the connection between the independent and dependent variables within equations.
GAP9: Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations;
GME6: Is skilled at finding the area of triangles, parallelograms, trapezoids, and other polygons.
GME7: Is skilled at finding area and circumference of circles.
GME9: Is skilled at finding surface area of triangular and rectangular prisms, triangular and rectangular pyramids.
GME11: Is skilled at finding surface area of cones, cylinders, spheres, prisms and pyramids
GME 10: Is skilled at finding volume of cones, cylinders, spheres, prisms and pyramids
SPP2: Is skilled at finding probabilities of compound events using organized lists, tables, tree diagrams. Understands the concept of a probability model.
Extended Learning Targets:
Students may have the opportunity to gain mastery of these learning targets.
GCS4: Understands using coordinates to find perimeter of polygons and areas of triangles and rectangles. Understands using simple geometric theorems on a coordinate plane
NQN7: Understands the relationship between rational and irrational numbers
GAP13: Is skilled at using trigonometric ratios, ratios for special right triangles, and the Pythagorean Theorem to solve right triangles in applied problems
This course reinforces arithmetic skills, developing the pre-algebra concepts of variable recognition, signed numbers, formulas and single variable equations. Students will be introduced to algebraic symbolism, simplifying expressions, solutions to elementary equations, and the graphic representations associated with variables.
Measurement Topics:
Algebra: Expressions, Equations, & Inequalities (AEE)
Algebra: Foundational Algebra (AFA)
Number & Quantity: Number Systems (NQN)
Geometry: Coordinate System (GCS)
Number Systems: Fractions, Decimals, & Percents (NSF)
Algebra: Interpreting Functions (AIF)
Geometry: Measurement (GME)
Geometry: Attributes & Properties (GAP)
Prerequisite Learning Targets:
Prerequisite learning targets are essential for success in the course. It is suggested that students have met these learning targets prior to starting the course. Students will have the opportunity to gain or deepen mastery of these targets.
AEE1: Understands written expressions can be written as a numeric expression or equation.
AFA4: Understand how to use parentheses, brackets, or braces to evaluate numerical expressions
NQN2: Is skilled at adding and subtracting integers using a number line.
NQN3: Is skilled at multiplying and dividing integers (this is about using the rules of signs correctly).
GCS2: Understands how to plot points in any quadrant.
AEE2: Is skilled at solving an equation as a process of substitution that makes the statement true
Expected Learning Targets:
Students will have the opportunity to gain mastery of these learning targets.
AEE3: Understands the solution to an inequality results in an infinite set of answers as plotted on a number line
AEE4: Is skilled at solving one step equations using integers. Is skilled at solving one-step inequalities using integers.
AFA5: Understands how to use exponents to evaluate numerical expressions.
NQN5: Understand the rules of exponents (i.e power of product, product of a power). Understand the relationship between multiplication and positive exponents. Understand the relationship between multiplication and negative exponents.
AEE5: Is skilled at solving one step equations using rational numbers. Is skilled at solving one-step inequalities using rational numbers.
NSF13:Is skilled at finding the percent of a quantity
NSF14: Is skilled at using proportional relationships to solve problems.
GME8: Understands reproducing a scale drawing at a different scale of a geometric shape or drawing
AEE7: Understand the process for solving multi-step equations and inequalities.
AIF1: Understand that a function is a rule that assigns to each input (domain) exactly one output (range). Understand the concepts behind rate of change, average rate of change, and initial value for a linear function with regards to the given situation it models
ABS1: Understand the relationship between independent and dependent variables as representative of real-life situations. Understand the connection between the independent and dependent variables within equations.
GAP9: Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations;
GME6: Is skilled at finding the area of triangles, parallelograms, trapezoids, and other polygons.
GME7: Is skilled at finding area and circumference of circles.
GME9: Is skilled at finding surface area of triangular and rectangular prisms, triangular and rectangular pyramids.
GME11: Is skilled at finding surface area of cones, cylinders, spheres, prisms and pyramids
GME 10: Is skilled at finding volume of cones, cylinders, spheres, prisms and pyramids
SPP2: Is skilled at finding probabilities of compound events using organized lists, tables, tree diagrams. Understands the concept of a probability model.
Extended Learning Targets:
Students may have the opportunity to gain mastery of these learning targets.
GCS4: Understands using coordinates to find perimeter of polygons and areas of triangles and rectangles. Understands using simple geometric theorems on a coordinate plane
NQN7: Understands the relationship between rational and irrational numbers
GAP13: Is skilled at using trigonometric ratios, ratios for special right triangles, and the Pythagorean Theorem to solve right triangles in applied problems