Standard/GLE

Alignment:

Demonstrates conceptual understanding of positive fractional numbers, including addition and subtraction of fractions with like denominators.

Accurately solves problems involving multiple operations on whole numbers.

Calculates change from $1, $5, and $10.

Demonstrates conceptual understanding of algebraic expressions by using letters or symbols to represent unknown quantities.

Demonstrates conceptual understanding of equality by showing equivalence between two expressions.

Interprets a given representation (graphs) to answer questions about the data, analyze the data to formulate or justify conclusions, to make predictions or to solve problems.

Demonstrates conceptual understanding of congruency by matching congruent figures using reflections, translations or rotations.

Focus

and /or

Essential Questions:

What is coordinate graphing? How can we plot points on a graph? What is the link between multiplication and algebra?

What are an equation and a variable? How can we use symbols to represent unknown quantities? What are true, false and open sentences?

What kind of math do you need to read a menu, order, create a bill, add tax, and make change?

What is a tessellation? How do you create a tessellating design?

What is the Pythagorean Theorem and what does it mean mathematically?

Skills:

How to add and subtract positive fractional numbers with like denominators.

How to work with an x, y graph and plot points, explore patterns and how they relate to multiplication.

How to write an algebraic equation using variables; understand the difference between true, false and open sentences.

How to use money in everyday situations, eating at a restaurant: addition, subtraction, multiplication.

How to create a tessellating design through the use of reflection, translation and rotation.

How to understand Pythagoras’ right angle triangle.

Content:

Students will continue to plot points on a graph using x and y horizontal and vertical lines. Students will work with patterns of positive and negative numbers and link these patterns with multiplication.

Students will learn how to replace numbers in number sentences with symbols, or variables. They will create their own problems using addition, subtraction and multiplication, and learn the difference between true, false and open sentences.

Students will use menus to order food within a budget, add and/or multiply the cost of several items and meals, create a bill using tax tables, compute totals and make change.

Students will learn to manipulate shapes to create tessellating designs.

Students will use a hands-on method to experience and learn the Pythagorean theorem.

Students will take part in the Math League Contest in the spring which involves multiple problem-solving.  

Assessment:

Informal assessment of students as they explore concepts. Individual assessment of students as they display answers and strategies for the class. Formal assessment of written work.

Recorded written information and explanation of work with graphs will be assessed.

Math quizzes will be given periodically to test student understanding.

Students will prepare written bills and solve written problems relating to budgets in a restaurant.

Formal assessment of Math League contest papers.

Modifications:

Enrichment:

Remediation:

Individual help is a constant where needed.

Students will be asked to “think outside the box” in all activities where that is appropriate.  Most of the skills are “discovered” with hands-on activities.

N/A