Term Two Algebraic Equations
Homework Week 6 to 10
- Google Site: Keep up to date with at least 6 sentences per week describing your learning, goals and struggles.
- If you complete Transum activities insert the screen shot into your google site and comment on the learning.
- Record when, where and how you studied for the assessment in week 10.
- Learning Work Book pages due at the end of term 2:
- Year 9 = Chapter 8; (You do not need to complete the Graphs section yet, if you run out of time). If you have not already completed chapter 7, you should complete it as soon as possible).
- Year 10 = Linear Equations Chapter 6 (Page 95 to 104) and Quadratic Equations Chapter 7 (Page 121 to 130). If you have not completed chapter 5 already, you should complete it as soon as possible).
- Important: Graphs is the second half of term 3, However, I am more than happy for students to be working on graphs as well as algebraic equations this term. This might help bring everything together for the most important test of this year. The test at the end of term 3 is on expressions, equations and graphs. It is used for class placement for 2020.
- Links:Algebra: Solving; Equations; Changing the Subject & Patterns
Week 6: Solving Linear Equations & Patterns.
- 2018 Site
- Lemon Law
- Missing Lengths
- Matchstick Patterns
- Solving Algebraic Linear Equations:
- Level 1 - Simple equations where the solution can be found by performing one operation on both sides of the equation. Example: 8n=64
- Level 2 - Simple equations where the solution can be found in two steps. Example: 9e+6=78
- Level 3 - Equations where a multiple of the unknown and a constant are on both sides. Example: 4y−7=3y−4
- Level 4 - Equations including brackets. Example: 2(4r+7)−9=21
- Level 5 - More complex equations requiring multiple steps to find the solution. Example: 6(10h+3)+4=7h+287
- Level 6 - Equations involving algebraic fractions.
This video explains how to solve equations given in the Transum links above. Level 1 to 3.
Unlisted Video of Level 4 (I forgot how to count, but get there in the end).
Level 5 Transum.
Show your working.
When you screenshot and place it onto your google site the working would be AWESOME to see.
In the assessment: no working = no tick.
Board Games were played to practise the skill of solving algebraic equations.
There are all sorts of cards and games, and students can decide how to interact with these resources.
The BIG IDEA is that students think about solving in flexible ways and teach each other through conversation. Often students can solve lots of problems of the same type, but then forget how to do them in a test. By mixing in these Gaming Resources, it is hoped that more of the skills actually 'stick', causing the test grades to increase. Being able to do something, and being able to remember how to do it, are different skills.
Week 7: Changing the Subject & Patterns.
- Equations
- Quadratic Sequences
- Changing the Subject
- PDF Versions of the Algebra Board Games
- PDF Versions of the Algebra Card Games
- Education Perfect NZC Level 4
- Education Perfect NZC Level 5
- Education Perfect NZC Level 6 (NCEA Level 1)
- Lemon Law
- After getting your trophy watch the video to see the forming of algebraic equations to generalize how the Lemon Law works.
- Matchstick Patterns
- Form expressions
- Giraffe
- The videos are not "teaching" videos, they are just a reminder of what we actually did. Also it reminds us of the activities that are set, and not yet completed.
Student Choice Lessons:
- Google Site
- Reflect every couple of lessons on your google site about what you have been learning, including homework.
- Reflect on the help you have given others.
- Reflect on your ability to ask for help when you need it.
- Class Choices
- Google Classroom
- Transum links for each week
- Videos
- Ms Allan's site
- Links and focus of the week
- Education Perfect
- Games:
- Play PrimeClimb using the solving cards as dice
- Use the solving cards to create your own conversations and games
- Use the algebraic manipulation cards to revise algebraic manipulation which will also be in the test
- Google Classroom
- Learning Workbook
Even though we have education perfect, some students may find these free videos help.
Week 8: Solving Quadratics & Simultaneous Equations.
Education Perfect: An awesome new resource for students to use.
All students have access to education perfect from June 2019.
- In 2018 we had a free trial for maths.
- The school is now paying for it.
- Notice how much they are loving it already.
Revision:
This task can really help students understand the idea of keeping an equation balanced.
The Algebra Scales are the same idea, but students get to interact with what is on the scales.
New learning this week, for those who are ready for it:
- Many students will keep working on the skills from week 6 and 7. Only moving to quadratics when ready. Inequalities in week 9 are for all students. Students aiming for Level 4 can ignore quadratics this term. Take care to learn things well, rather than trying to learn everything.
- Term One Algebra Anything we did in term one could be in this test. Revision is required.
- Completing the Square
- Quadratics
- Factorising - Factorise algebraic expressions in this structured online self marking exercise.
- Level 1 - A quadratic equation presented in a factorised form.
- Level 2 - Two terms where the unknown is a factor of both. The roots are integers.
- Level 3 - Three terms where the squared term has a coefficient of one. The roots are integers.
- Level 4 - Three terms where the squared term has a coefficient other than one and the expression factorises.
- Level 5 - The difference between two squares.
- Level 6 - Three terms and the roots are not necessarily integers.
- Level 7 - Mixed questions on solving quadratic equations
- Simultaneous Equations
Preparing for term 3 weeks 6 to 10:
10mm and 10r used the Linear Card Game
- We sorted the cards, with the rows showing equivalent relationships between x and y. The columns had the same format.
- In order to match the equations with each other we used our rearranging skills.
- In order to match the graph with the equation we used the format y=mx+c with m being the gradient and c being the y intercept.
- This was challenging for many students.
- Why do it now? Because students tend to forget what gradient is so I want to introduce it early to get a head start.
Maths is Fun has great notes on this.
Week 9: Inequalities & forming equations.
- Inequalities
- Level 1 - Comparing positive integers
- Level 2 - Comparing positive and negative decimal numbers
- Level 3 - Comparing positive and negative fractions
- Level 4 - Comparing metric measures
- Level 5 - Matching statements to number line diagrams.
- Level 6 - Solving linear inequalities.
- Level 7 - Solving linear two part inequalities.
- Level 8 - Matching statements to graphs.
- Maths is Fun
- Write Expressions
- Rabbits and Chickens
- Algebra in Action
- Level 1 - Find two values given their ratio and either their sum or difference
- Level 2 - Find one of three numbers given the connection between them
- Level 3 - Find numbers whose sum and difference are given
- Level 4 - Find numbers when given information about the sum or difference of their multiples
- Level 5 - More questions similar to those in previous levels
- Tukutuku Patterns (Revision of patterns from week 7).
Week 10: Study & Common Assessment.
Assessment is on Thursday July 4th.
- There will be four sections:
- Level 3 - 4 skills questions and 16 equation questions [Basic 8 correct, Proficient 12 correct, Advanced 16 correct]
- Level 4 - 4 skills questions and 16 equation questions [Basic 8 correct, Proficient 12 correct, Advanced 16 correct PLUS at least 8 at Level 3]
- Level 5 - 4 skills questions and 16 equation questions [Basic 8 correct, Proficient 12 correct, Advanced 16 correct PLUS at least 8 at Level 4]
- Level 6 - 4 skills questions and 16 equation questions [Basic 8 correct, Proficient 12 correct, Advanced 16 correct PLUS at least 8 at Level 5]
- Calculators are NOT allowed in algebra assessments.
Level 3
• Solve simple one step equations.
• Solve simple one step inequalities.
• Find and justify a word formula which represents a given practical situation.
• Solve simple linear equations that involve more than one step.
• Solve simple linear inequalities that do not involve reversing the inequality sign.
• Form linear equations to model a given situation.
• Solve linear equations that require multiple steps.
• Solve linear equations that contain algebraic fractions.
• Use equations to represent practical situations.
• Solve simple linear inequalities that involve reversing the inequality sign.
• Solve problems that can be modelled by linear equations and inequations, quadratic and simple exponential equations and interpret solutions in context.
• Use factorising for solving quadratic equations.
• Use number knowledge (not logarithms) for solving exponential equations.
• Solve problems that can be modelled by simultaneous equations where the equations are linear–linear, and interprets solutions in context.
Extra Resources
Don Steward Blog & Cushla Thomson Videos (She has a nice voice).
