| Curriculum Map 2006-2007 | |||
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The Dwight School |
| Period | Content | Purpose/ Objectives | Activities & Resources | Areas of Interaction | Assessments | |
| Solving Equations : | Solving Equations Using Addition and Subtraction Solving Equations Using Multiplication and Division |
Write algebraic expressions that describe situations. Substitute numbers for variables and evaluate. Solve addition and subtraction equations by adding or subtracting the number on both sides of the equation. Substitute numbers for variables and then evaluate the resulting multiplication or division expressions Estimate and compute decimal products. Use mental math to multiply a decimal by ten. Divide a decimal by a decimal. Translate word problems into algebraic expressions. |
Number "Scavenger Hunt" Oral Multiplication Quiz Students create their own word problems and exercises in class. Group work to problem-solve new equations using variables. Oral testing of each other using mental math skills Need some extra help? Use this terrific tutorial on solving equations:  Math Tutorial on Solving Equations |
How can we use the language of mathematics to create equations used to solve word problems? (ATL) How do you compute basic operations using rational numbers? How do you apply your knowledge of basic operations using rational numbers in relevant situations? How do you solve a non-linear equation? |
Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Write algebraic expressions that describe situations. Substitute numbers for variables and evaluate. Solve addition and subtraction equations by adding or subtracting the number on both sides of the equation. Substitute numbers for variables and then evaluate the resulting multiplication or division expressions Estimate and compute decimal products. Use mental math to multiply a decimal by ten. Divide a decimal by a decimal. Translate word problems into algebraic expressions. |
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| Solving Equations : | Solving Equations Using Number Properties |
Apply the rules of the Order of Operations to simplifying expressions. Use a graph for solving problems. Solve two-step equations. Recognize and use the distributive property. Simplify algebraic expressions by combining like terms. |
Graphing data on sale prices of everyday items. Oral Multiplication Quiz (as review). Need some help preparing for the oral multiplicatin quiz? Use this website to create your own flashcards: Students create their own word problems and exercises in class, based on graphing. Group work to problem-solve new equations using number properties. Create Your Own Flashcards! |
How can tools such as graphs and tables aid us in our interpretation of data? How do we create these tables and graphs? (ATL) |
Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Apply the rules of the Order of Operations to simplifying expressions. Use a graph for solving problems. Solve two-step equations. Recognize and use the distributive property. Simplify algebraic expressions by contributing like terms. |
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| Integers and Equations : | Integers and Equations |
Compare positive and negative integers and absolute value. Think of integers as collections of charged particles. Add, subtract, multiply and divide positive and negative numbers. Use prices of items for solving problems. Solve two-step equations using positive and negative integers. |
Students create own word problems and exercises based on objectives. Oral multiplication quiz with positive and negative numbers. Creation of own problems using prices of everyday items and weather data. |
How can we create our own math word problems and test our classmates' knowledge? Why does this activity improve our own understanding of the material? (ATL) Special Unit of Instruction: How can mathematics apply to the scientific analysis of the earth's atmosphere? (Environment) |
Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Students will generate a written report with graphs and tables that analyze and summarize data on the earth's weather patterns around the world. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: |
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| Exponents and Fractions : | Algebra Using Exponents and Fractions |
Use exponents to simplify algebraic expressions. Write numbers in scientific notation. Write the algebraic factorization of numbers and variables. Find the LCD and GCF of algebraic integers. Change a fraction to another with the principles of equivalency. Use equations and formulas to solve word problems. |
Daily work on exponents and factorization on the board. Students solve problems for the instructor and rest of class. Students generate their own practice tests based on classwork and homework. Group work to solve word problems using algebraic concepts. |
How do you simplify or expand algebraic expressions containing exponents? How do you apply the laws of exponents in the context of operations with polynomials? How do you apply the laws of exponents in the context of operations with polynomials? How do you apply the laws of exponents in the context of factoring of polynomials? |
Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Use exponents to simplify algebraic expressions. Write numbers in scientific notation. Write the algebraic factorization of numbers and variables. Find the LCD and GCF of algebraic integers. Change a fraction to another with the principles of equivalency. Use equations and formulas to solve word problems. |
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| Algebra using Fractions : | Algebra Using Sums and Differences of Fractions Algebra using Products and Quotients of Fractions |
Write whole numbers and mixed numbers as fractions. Change fractions to decimals and decimals to fractions. Add and subtract algebraic fractions with different denominators. Add and subtract mixed numbers using regrouping. Solve equations with a calculator where appropriate. Multiply and divide algebraic fractions and mixed numbers. Solve word problems using mixed numbers. Solve an equations to find a fraction of a whole number. Convert measurements. Use an equation to find a number when a fraction of it is known. |
Daily board work where students demonstrate knowledge of algebra using fractions. Students generate practice tests and give them to each other. Group work to solve word problems Need extra help? Use this cool website for additional help on fractions: Math Tutorial on Fractions |
When is it appropriate to use technical aids such as calculators to solve problems? How do we decide to use these aids? (ATL) |
Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Write whole numbers and mixed numbers as fractions. Change fractions to decimals and decimals to fractions. Add and subtract algebraic fractions with different denominators. Add and subtract mixed numbers using regrouping. Solve equations with a calculator where appropriate. Multiply and divide algebraic fractions and mixed numbers. Solve word problems using mixed numbers. Solve an equations to find a fraction of a whole number. Convert measurements. Use an equation to find a number when a fraction of it is known. |
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| Rational Numbers : | Algebra Using Rational Numbers |
Add and subtract positive and negative fractions. Use a sales-tax table for solving problems. Simplify and solve algebraic expressions by combining like terms. Solve algebraic expressions with a variable on each side of the equal sign. Solve word problems using formulas. |
Deposit or Withdrawl Game Oral Multiplication Quiz Student generated word problems and equations. Student generated tests used for practice and study skills developed on how to perform well on tests. Group work to solve problems using formulas. Daily board work with student presented work. |
Special Unit of Instruction: How does mathematics serve as a common language for people of diffferent ethnicities and cultures? (Homo Faber, Health and Social Education) |
Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Add and subtract positive and negative fractions. Use a sales-tax table for solving problems. Simplify and solve algebraic expressions by combining like terms. Solve algebraic expressions with a variable on each side of the equal sign. Solve word problems using formulas. Students will generate a written essay exploring the issues of racism and discrimination as demonstrated by the film "Stand and Deliver." Math as a common language is the theme of this essay. |
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| Ratios, Proportions and Percent : | Using Algebra in Ratio, Proportion and Percent |
Give the ratio of two quantities. Solve proportions with one unknown. Solve rate problems using proportions. Change a percent to a fraction. Change a percent to a decimal. Find the percent of a number. Find a number when only a percent of a number is known. Find the percent increase and decrease. |
"If the world were a village of 100" activity Oral Multiplication Quiz Student generated word problems and equations. Student generated tests used for practice and study skills developed on how to perform well on tests. Group work to solve problems using formulas. Need extra help? Check out this cool website for more help on Ratios, Percents and Proportions Math Tutorial |
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Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Give the ratio of two quantities. Solve proportions with one unknown. Solve rate problems using proportions. Change a percent to a fraction. Change a percent to a decimal. Find the percent of a number. Find a number when only a percent of a number is known. Find the percent increase and decrease. |
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| Graphing : | Graphing Equations and Inequalities |
Give the coordinates of a point on a graph. Graph the ordered pair. |
"Graphitti" activity Daily board work plotting points on a graph. |
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Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Give the coordinates of a point on a graph. Graph the ordered pair. |
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| Probability : | Probability and Statistics |
Determine the probability of a simple event Complete the probability of two or more independent events Find the mean, median, mode and range of a set of numbers |
"What will you get?" group activity Coin toss experiment Group work to solve probabilities Individual board work on median, mean and mode to demonstrate knowledge to the rest of the class Creation of student-generated practice tests |
Why is it important and beneficial to create our own practice tests? How else can we better prepare for math tests and quizzes? |
Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Determine the probability of a simple event Complete the probability of two or more independent events Find the mean, median, mode and range of a set of numbers |
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| Geometry : | Using Algebra in Geometry |
Measure and classify angles Solve problems involving the sum of the angles of a triangle Solve problems involving vertical angles and parallel lines Use formulas to find perimeter, area and volume of a square, circle, and polygon Solve problems by drawing diagrams Plot coordinates on the x/y coordinate axis |
"Graphitti" coordinate plotting Disney's Donald in Mathemagic Land video Group work to solve geometric equations using algebra Drawing diagrams to aid in problem interpretation Oral multiplication quizzes |
How odes Geometry relate to other areas of Mathematics? How is geometry used in every day life? What are the building blocks of geometry? How and why does drawing sketches or diagrams help us understand geometric concepts? |
Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Summative: Biweekly tests on all concepts covered in that time period. Tests are graded and recorded by instructor and returned to students the following day in class. Students will reflect on their performance and complete corrections for all incorrect answers. Tests and Homework will cover: Measure and classify angles Solve problems involving the sum of the angles of a triangle Solve problems involving vertical angles and parallel lines Use formulas to find perimeter, area and volume of a square, circle, and polygon Solve problems by drawing diagrams |
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| Final Review : | Preparation for Final Exam (Exam will cover content of entire course, all puposes and objectives will be represented on the final exam.) |
To prepare for Final Exam |
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Formative: Daily homework on concepts covered that day in class. Homework is checked and graded by the instructor the following day. Scores are recorded. Solving problems and presenting work to class. Homework will cover: Review problems of all contents areas |
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