Recommendations and tips for writing good discussion questions, including examples.

Look for and make use of structure. Look for and express regularity in repeated reasoning. The Mathematical Content Standards The Mathematical Content Standards Essential Curriculum that follow are designed to promote a balanced combination of procedure and understanding.

Scale Drawings Draw, construct and describe geometrical figures and describe the relationships between them. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Solve real-life and mathematical problems involving angle measure, area, surface area and volume.

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.

Introducing Proportional Relationships Analyze proportional relationships and use them to solve real-world and mathematical problems.

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. Recognize and represent proportional relationships between quantities.

Decide whether two quantities are in a proportional relationship, e. Identify the constant of proportionality unit rate in tables, graphs, equations, diagrams and verbal descriptions of proportional relationships. Represent proportional relationships by equations.

Explain what a point x, y on the graph of a proportional relationship means in terms of the situation, with special attention to the points 0, 0 and 1, r where r is the unit rate. Measuring Circles Analyze proportional relationships and use them to solve real-world and mathematical problems. Draw, construct and describe geometrical figures and describe the relationships between them.

Draw freehand, with ruler and protractor and with technology geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form whole numbers, fractions and decimalsusing tools strategically.

Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Proportional Relationships and Percentages Analyze proportional relationships and use them to solve real-world and mathematical problems.

Use proportional relationships to solve multistep ratio and percent problems. Rational Number Arithmetic Apply and extend previous understandings of operations with fractions.

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. Show that a number and its opposite have a sum of 0 are additive inverses. Interpret sums of rational numbers by describing real-world contexts.

Show that the distance between two rational numbers on the number line is the absolute value of their difference and apply this principle in real-world contexts. Apply properties of operations as strategies to add and subtract rational numbers. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Interpret products of rational numbers by describing real-world contexts. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers with non-zero divisor is a rational number. Interpret quotients of rational numbers by describing real-world contexts.

Apply properties of operations as strategies to multiply and divide rational numbers. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Solve real-world and mathematical problems involving the four operations with rational numbers. Analyze proportional relationships and use them to solve real-world and mathematical problems. Use variables to represent quantities in a real-world or mathematical problem and construct simple equations and inequalities to solve problems by reasoning about the quantities.The control groups should have been two other reading selections designed to bracket programming code reading: for example, reading mathematics, such as algebraic proofs, versus reading in an unfamiliar non-math vocabulary like a dense legal contract.

I just can't imagine life without reading and writing, not just for the obvious "demands of everyday life", but for the other worlds and lives they conjure. (which no one will read), a poster. Find this Pin and more on Reading, Writing, and Arithmetic by Makin' Music Delaware.

Give your children. this looks awesome couldnt amagine eating it top toddler books The top books every home should have (for every age! Find this Pin and more on Reading and Writing Ideas by Victoria R. Here is a selection of recently published books to add to classroom libraries to encourage independent reading.

Join the celebration by setting aside time for students to read in class every day during April or, better yet, all year long. and even homework-eating dogs! However, Power Girl is always there to save the day. This is a. If the phrase "word problem" sends a shiver down your spine, you're not alone.

A lot of people have trouble with so-called word problems in math. Certificates of Achievement. Free to download and print.

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