Category: Math

Math Update: Fri., Nov. 29

We are moving along well in our Geometry Unit. We will have a small quiz on Tuesday to confirm what I’m seeing in terms of student understanding. Today we worked on Perpendicular Bisectors of Line Segments (Pages 107 – 108).

Note: I plan to finish marking the Number Sense/Fractions tests over the weekend and hand them back Monday.

In addition to the Geogebra tool that I shared earlier in the week, there is a fun geometry game that might help reinforce students thinking around the concepts we are covering. It’s called Euclidea and it’s available online and for iOS and Android. The games and puzzles in this app go far beyond what we do in Grade 7 math, but it is really fun to play (parents and guardians may have a lot of fun too!). There are tutorials through the game and usually a variety of ways to solve each puzzle. The app is free, though there are in-app purchases available (purchases allow you to advance through the game without solving puzzles in the most efficient way). If you play online, there are no restrictions.

Reminder: Math Quiz Tuesday

The math quiz on Tuesday will cover Jump Math lessons NS7-18 to NS7-26 (Pages 72 – 86).

Topics

  • Understanding fractions (parts of a whole, numerator, denominator, etc.)
  • Mixed numbers
  • Improper fractions
  • Converting between mixed numbers and improper fractions
  • Comparing fractions (with same numerator, with same denominator)
  • Equivalent fractions
  • Comparing fractions using equivalent fractions

Math – GCF and LCM

Today we looked at how to find the Greatest Common Factors (GCFs) and Least Common Multiples (LCMs) of sets of numbers.

Here is a lesson on finding the Greatest Common Factor and you can find a lesson on multiples of positive numbers including the Least Common Multiple here.

We can use the GCF to simplify fractions (i.e. make a complex fraction like 12/36 into an easier to understand fraction like 1/3). We can use the LCM to make adding and subtracting fractions with different denominators easier (i.e. 1/3 + 1/4 = 4/12 + 3/12 = 7/12). Don’t worry – we’re not starting that yet, but we’re on our way.

For more lessons and practice, you can check out this page on Math.com.

We used our “non-gym” period today (because of school photos) to review for the test that is coming up on Friday.

Upcoming Math Test

On Friday, November 1, we will have a test to end our second unit. The test will cover content from the Jump Math book between pages 22 and 50 with the exception of Lessons 12 and 13 (pages 43 – 45).

In general the second quiz was well done, but many students will want to practice “undoing” equations to solve and find the value of the variable. Lessons 9, 10 and 11 (pages 39 – 42) cover two strategies for solving these kinds of problems. Students can draw out an equation on a balance or “undo” it be working backwards.

There are a couple of worthwhile resources to check out that might be helpful in reviewing this content:

  1. University of Waterloo’s Open Courseware – Representing Sequences Using Equations
  2. Khan Academy’s Patterning and Algebra (Ontario Grade 7) – Variables and Expressions
  3. Math-Drills.com has several versions of appropriate practice sheets (and solutions) here and here.

Math For Tuesday

Today we started looking at translating algebraic expressions into word problems and interpreting word problems as algebraic expressions. Pages 46 to 48 can be completed as homework (but we will work on them before the TSO trip tomorrow who don’t finish).

You may have noticed that we skipped lessons 12 and 13. Students who wish to, can work through these lessons independently.

Reminder that there will be a second Patterning and Algebra Quiz on Thursday (covering lessons 7 – 14 – but not 12 and 13).

We will have a final unit test on Tuesday next week.

Math Homework

Please complete pages 36 to 38 in your Jump Math workbook.

We are “undoing” operations to get back to where we started. This is the introduction to solving for unknown variables.

Math Test Update

Students will be bringing home their math test to have it signed. Although many students did very well, there are some students who were not as successful as they’d hoped they would be. The content for this test was all from Grade 6 and matched the work that they did in class. Students who used their Jump Math books to study and practice (as they were advised to do) were better prepared and did better on the test.

Students will have additional opportunities to demonstrate their understanding of the concepts addressed on this test through smaller quizzes. These will (hopefully) positively impact their report card mark.

I will be giving more frequent quizzes to allow students more opportunities to check their understanding and hopefully encourage them to address concepts that they may not have grasped to the degree they believed they had.

We took up the test today and addressed many of the concepts that proved challenging. Our daily review this week will cover Order of Operations. Please see this post to review things that you can do at home to practice.

Order of Operations

Finished marking your math tests. One area I noticed that we could use some reinforcement is around using the Order of Operations (BEDMAS) properly.

Tips

  • Don’t add your own brackets to “chunk” parts of an expression
    For example: Don’t turn 3 + 4 x (6 – 2) into (3 + 4) x (6 – 2) = 7 + 4 = 11
    The proper way to solve that expression is 3 + 4 x 4 = 3 + 16 = 19
  • Don’t just group things that are easy to solve together. You must follow the correct order of operations every time.
  • Don’t split things apart and bring them back together. Work through the whole number expression with one “equals” sign per line.
    For example:
    9 – 2 + 8 × (4 + 6)
    = 9 -2 + 8 x 10
    = 9 – 2 + 80
    = 7 + 80
    = 87

Practice

For interactive practice (a game), try High-Stakes Heist on ABCya or the Order of Operations Quiz on Interactivate (Note: Parentheses means Brackets so include those in the quizzes you set up for yourself).
For worksheets that you can print or just try from the screen, check out Math-Drills.com (Note that there are different versions of the worksheet linked at the bottom of the page).

Growing Patterns with Tables

Today we looked at different ways to visualize the growth of patterns and considered how we could represent growth in tables or t-charts (which most students are familiar with from Grade 6).

Classwork/Homework
Jump Math: Pages 25, 26 and questions 6, 8, 10 and 12 on page 27.
Extension: Questions 7, 9 and 11 on Page 27

New Math Unit – Patterning and Algebra

In math today, we began by investigating an interesting problem with our table partners. Students looked at how a gardener planted flowers in a pattern to determine how many flowers in total would be planted.

Problem Solving Strategies
A variety of problem solving strategies in use.

A few groups came up with the correct solution. We discussed the need to:

  • Read problems very carefully
  • Make a visual representation of problems
  • Look for patterns by considering how numbers change
  • Making a t-chart or table of values.

We’re starting a new Patterning and Algebra unit in math, and while today was mostly review, it was a good chance to see what strategies students defaulted to.