Course Title: Pre Algebra Topic/Concept: Fundamentals of Algebra Time Allotment: 14 days Unit Sequence: 1 1. To evaluate numerical and algebraic expressions. 2. To solve one step equations and inequalities using addition, subtraction, division, and multiplication. 3. To simplify algebraic expressions by combining like terms. 4. To graph ordered pairs on the coordinate plane. 5. To graph a linear equation. 1. Students will use the order of operations to evaluate both algebraic and numerical expressions. 2. Substitutions of values for variables will be used. 3. To show the steps necessary to solve one step equations by using inverse operations and properties of equality. 4. To simplify algebraic expressions that contain like terms by applying rules for adding adn subtracting like terms. 5. Graph ordered pairs and linear equations on the coordinate plane. M8.A.2.1 M8.C.3.1 M8.D.2.1 M8.D.2.2 M8.D.4.1 Lecture Performance task Hands on activity Note Taking Math Binders Graphic Calculators M8.D.2.1.1 M8.A.2.1.1 M8.D.2.1.2.1 M8.D.2.1.3 M8.C.3.1.1 M8.D.2.2.1 M8.D.4.1.1 Math binder Test and quizzes Open ended question
Course Title: Pre algebra Topic/Concept: Integers Time Allotment: 12 days Unit Sequence: 2 1. Perform the major operations on integers. 2. Solve equations and inequalities containing integers. 3. Evaluate expressions involving exponents. 4. Express numbers in scientific and standard form. 1. Students will be able to evaluate numerical expressions with integers for addition, subtraction, division, and multiplication. 2. Students will solve equations and inequalities involving integers by applying the properties of equality. 3. Students will evaluate problems with negative and positive bases and exponents. M8.A.1.1 M8.A.2.1 M8.D.2.1 M8.D.2.2 M8.A.1.1.1 M8.D.2.1.1 M8.A.1.1.2 M8.D.2.1.2 M8.A.2.1.1 M8.D.2.2.2.1 Problem solving activities Lecture Group discussion Calculators Hands on activity Note Taking Summarizing Math Binders Test and quizzes Open ended questions
Course Title: Pre Algebra Topic/Concept: Real Number System Time Allotment: 14 days Unit Sequence: 3 1. Perform the basic operations on real numbers. 2. Solve equations containing real numbers. 3. Evaluate expressions containing squares and square roots. 1. Students will perform the operations of addition, subtraction, division, and multiplication, with decimals and fractions (both like/unlike denominators and mixed numbers). 2. Students will use the properties of equality to solve equations and inequalities containing rational numbers. 3. Students will be able to identify perfect squares and calculate the square root. 4. Students will be able to locate on a number line an approximated value for an irrational numbers. 5. Students will approximate the square root of a non perfect square to the nearest tenth. M8.A.1.1 M8.D.2.1 M8.D.2.2 M8.A.1.1.2.1 M8.D.2.1.1 M8.D.2.1.2 M8.D.2.2.2 Problem solving activities Lecture Group discussion Hands on activity Note Taking Graphic organizers Evaluating Math Binders Graphic Calculators Test and quizzes Open ended question
Course Title: Pre Algebra Topic/Concept: Statistics and Data Analysis Time Allotment: 12 days Unit Sequence: 4 1. Collect and analyze data. 2. Determine the measures of central tendancy. 3. Determine the measures of variance. 4. Display data in various graphical forms. 5. Examine misleading statistics. 1. Collect data and determine/construct an appropriate graphical display. 2. Determine mean, median, and mode for a given set of data and determine which is most reflective for the data set. 3. Calculate quartiles and the range for a given data set. 4. Be able to explain how a graphical display is misleading. 5. Determine from a given set of data, what type of relationship exists, if any, and use that data to make predictions. M8.E.1.1 M8.E.4.1 M8.A.3.1 M8.E.1.1.1 M8.A.3.1.1 M8.E.1.1.2 M8.A.3.1.2 M8.E.1.1.3 M8.E.4.1.1 M8.E.4.1.2 Lecture Group discussion Performance task Written work Hands on activity Note Taking Charting Summarizing Evaluating Math Binders Graphic Calculators Test, quizzes, and project (using a given data set) Open ended questions
Course Title: Pre Algebra Topic/Concept: Basic Geometry Time Allotment: 15 days Unit Sequence: 5 1. Basic identification and notation for points, lines, planes, and angles. 2. Identification and application of angle relationships that arise from lines that are parallel or perpendicular. 3. Identification of polygons and examination of similarities and differences among triangles and quadrilaterals. 4. Recognize, use, and apply types of symmetry. 5. Determine congruence relationships between two figures. 6. Apply transformations to geometric figures. 1. Measure angles using a protractor and classify what type of angle it is. 2. Determine if two figures are congruent or similar based on given information and definition of congruence. 3. Given two parallel lines, a transversal, and an angle, determine the measurements for all other angles. 4. Classify trianlges according to sides and angles. 5. Discuss the relationship among quadrilaterals and describe what makes them different. 6. Use rotational and line symmetry. 7. Use symmetry to perform transformations of polygons. M8.B.2.1 M8.C.3.1 M8.D.1.1 M8.B.2.1.1 M8.D.1.1.2 M8.B.2.1.2 M8.C.1.1.3 M8.B.2.1.3 M8.C.3.1.1 Lecture Performance task Written work Hands on activity Note Taking Math Binders Multiple projects Test and quizzes Lesson activities that allow for student exploration.
Course Title: Pre Algebra Topic/Concept: Perimeter, Area, and Volume Time Allotment: 14 15 days Unit Sequence: 6 1. Use and apply perimeter/area formulas for triangles and quadrilaterals. 2. Use the Pythagorean Theorem to solve for unknown values of a right triangle. 3. Find area and circumference of circles. 4. Find volume and surface area of solids. 1. To find the area for triangles, trapezoids, rectangles, and parallelograms. 2. To find the perimeter for triangles, trapezoids, rectangles, and parallelograms. 3. To determine the effect on perimeter and area when making changes to the original dimensions. 4. Use the Pythagorean Theorem to find an unknown measure when given the other two. 5. Apply the Pythagorean Theorem in problem solving applications. 6. To calculate the circumference and area for circles. 7. To determine the effect on circumference and area of a circle when making changes to the radius or diameter. 8. To calculate volume and surface area for three dimensional solids. 9. To examine the effects of changing a given measurement on the new volume/surface area when compared to the original. M8.A.3.1 M8.B.2.2 M8.C.1.1 M8.C.1.2 Problem solving activities Lecture Group discussion Performance task Hands on activity Note Taking Evaluating Math Binders Graphic Calculators M8.A.3.1.1 M8.B.2.2.2 M8.A.3.1.2 M8.B.2.2.3.1 M8.B.1.1.1 M8.B.2.2.1 M8.C.1.2.1 Multiple projects Math Binders Tests and quizzes Student lesson exploration activities
Course Title: Pre Algebra Topic/Concept: Ratios, Rates, and Proportions Time Allotment: 13 14 days Unit Sequence: 7 1. To understand and use the concepts of ratio and proportion. 2. To use ratios to convert from one unit to another. 3. To setup and solve proportions. 4. To apply ratio and proportion to similar figues, dilations, and scale models. 1. To determine if ratios are equivalent. 2. To express ratios as rates and units. 3. To use proportions to solve for unknown values. 4. To use the concept of proportionality to find dilations. 5. Use similar figues to determine the unknown values. 6. To convert from scale to actual and actual to scale. M8.A.3.1 M8.A.3.1.1 M8.A.3.1.2.1 Lecture Group discussion Performance task Hands on activity Oral presentation Note Taking Math Binders Graphic Calculators Tests and quizzes Scale model project in 2 and 3 dimensions
Course Title: Pre Algebra Topic/Concept: Percents and Percent Applications Time Allotment: 12 14 days Unit Sequence: 8 1. To convert among fractions, decimals, and percents. 2. To find the rate, base, or percentage based on given information. 3. To estimate with percents. 4. To apply applications of percent of change to solve a variety of percent situations. 1. To solve problems involving tax, discount, tips, and commission. 2. To find a percent one number is of another number. 3. To find a number when a percent is known. M8.A.3.1 M8.A.3.2 M8.A.2.2 M8.A.3.1.1 M8.A.3.2.1 M8.A.2.2.2 M8.A.2.2.1 Lecture Group discussion Hands on activity Note Taking Math Binders Graphic Calculators Tests & quizzes Math Binders
Course Title: Pre Algebra Topic/Concept: Graphing Linear Equations Time Allotment: 10 12 days Unit Sequence: 9 1. Identify and graph linear functions using various methods (tables, graphs, intercepts, and relations) 2. To write linear equations in 2 forms: slope intercept and standard form. 3. Find rates of change and slope and discuss their relationships. 4. Apply transformations to linear equations and discuss the affects of changing the slope and y intercepts. 5. To determine a line of best fit given data and from a scatter plot. 1. Write or state a rule of a function. 2. Match a written situation to its numeric/algebraic expression. 3. Apply the concept of slope to direct variation. Representation of linear functions in various forms. 4. To graph linear functions using tables, slope, & y intercept, and x and y intercepts. 5. Use linear functions to solve real life applications. 6. Make observations/predictions based on given data and determine any relationship between two sets of data. M8.D.1.1 M8.B.1.1 M8.D.2.2 M8.C.3.1 M8.D.4.1 M8.E.4.1 M8.D.1.1.1 M8.B.1.1.4 M8.D.2.2.1 M8.C.3.1.1 M8.D.4.1.2 M8.E.4.1.1 M8.D.4.1.3 M8.E.4.1.2 Lecture Performance task Student Journals Hands on activity Note Taking Summarizing Evaluating Math Binders Graphic Calculators Quizzes and tests Open ended question Linear graphing activities with and without a graphing calculator
Course Title: Pre Algebra Topic/Concept: Probability Time Allotment: 15 days Unit Sequence: 10 1. Define, determine, and differentiate between expiremental and theoretical probability. 2. Be able to determine the number of arrangements of objects. 3. Be able to determine how many possibilities there are. Define and determine probabilities for independent and dependent events. 4. Convert between odds and probability. 1. Find the expiremental and theoretical probabilities for particular events. 2. Determine the number of arrangements of objects by determining if the situation is a combination or permutation. 3. Use the Fundamental Counting Principle to determine how many possibilities there are. 4. Determine the probability for independent and dependent events. 5. Convert from odds to probability and probability to odds. M8.E.3.1 M8.E.3.2.1 M8.E.3.1.1 M8.E.3.2.1 Lecture Hands on activity Note Taking Math Binders Graphic Calculators Tests & quizzes Activities/projects Math binder
Course Title: Pre Algebra Topic/Concept: Sequences and Functions Time Allotment: 15 days Unit Sequence: 11 1. Examine patterns of numbers to determine what, if any, pattern exists. 2. To discuss/define function and look at different types of functions. 3. To apply specific functions in their appropriate context. 1. To determine whether a pattern of numbers is an arithmetic, geometric, or some other type of sequence. 2. To complete an x/y table of values for various functions: linear, quatratic, and exponential. 3. To graph functions by completing a table. Using a graph, determine what general type of function is displayed. M8.D.1.1 M8.D.1.1.1 M8.D.1.1.2 M8.D.1.1.2 Lecture Group discussion Hands on activity Note Taking Evaluating Math Binders Graphic Calculators Tests and quizzes Graphing activities using the graphing calculator
Course Title: Pre Algebra Topic/Concept: Polynomials Time Allotment: 15 days Unit Sequence: 12 1. To use the properties of exponents to simplify algebraic expressions. 2. To add, subtract, and multiply monomials and polynomials. 3. To classify monomials and polynomials. 1. To write polynomials in standard form. 2. To classify polynomials by the number of terms. 3. To simplify polynomials by combining like terms. 4. Add, subtract, and multiply monomials and polynomials. M8.A.1.1 M11.D.2.2 M8.A.1.1.1 M11.D.2.2.1 Problem solving activities Lecture Group discussion Hands on activity Note Taking Summarizing Math Binders Tests and quizzes Math binder Class activity: station cards