# 7th Grade Math Problem Solving

Add, subtract, multiply, and divide with positive and negative rational numbers in any form – including whole numbers, fractions, or decimals. Use these skills to solve multi-step real-world problems.

Use understanding of ratio and proportion to understand scale: the ratio of the length in a drawing (or model) of an object to the length of the actual object.

7th graders have a lot on their plates (a bit of an understatement, wouldn’t you say? And let’s face it, learning how to solve algebraic expressions isn’t always at the top of their list.

Lucky for your 7th grader, math is at the top of our list.

The lessons are organised by level and curriculum strand.

Remember that the context of most problems can be adapted to suit your students and your current class inquiry. The site also includes Problem Solving Information.Much of my teaching is discovery lessons, interactive games/whiteboards, and project based learning.This year, I want to add problem based learning to the mix. This year, it is going to be a focus, especially for 7th grade. I teach them two years in a row, so I’m not new to them anymore. B.4.a Solve word problems leading to equations of the form px q = r and p(x q) = r, where p, q, and r are specific rational numbers. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. In 7th grade, students focus on using their understanding of ratios and rates to solve real-world problems involving proportional relationships, solving problems involving positive and negative rational numbers, and working with mathematical expressions and linear equations.This section of the nzmaths website has problem-solving lessons that you can use in your maths programme.The lessons provide coverage of Levels 1 to 6 of The New Zealand Curriculum.In the example problem figures, scale of the top figure to the bottom figure is 1:2 (“one to two”).Change scale and compute actual lengths and areas of geometric figures. B.3Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. B.4Use 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. For example, the perimeter of a rectangle is 54 cm.

Katrina Archuleta, 17, helps her sister, Amani Gonzalez, 5, with math homework at their home in Denver in January.

The only exceptions to this rule are when a case involves matters of national security or the Attorney must personally consent to a prosecution (e.g.

The short story “I Stand Here Ironing” (1961) by Tillie Olsen is a touching narration of a mother trying to understand and at the same time justifying her daughter’s conduct.