Integrated 3: Pacing of Tasks
Integrated 3
Year 2 Module 1 - Pacing 8-10 Days
Task | Outcome | Assessment |
“Week of Math” Jo Boaler | Student perception of math and emphasis of teacher and student role in learning | |
Task 1.2 I-Rule | Quadratic Patterns using multiple representations | |
Task 1.3 Macho | Rate of change and connections between quadratic having linear rate of change | |
Task 1.4 Rabbit Run | Min/Max of Quadratic, Domain and Range | |
FORMATIVE Assessment | ||
Year 2 Module 2
Pacing 20 days
Task(s) | Outcome | Assessment |
2.1-2.5 9-10 days | Transformations of a quadratic and completing the square. Lots of work with vertex form of a quadratic. | |
FORMATIVE Assessment | ||
2.6-2.9 9-10 days | Distributive Property/Factoring a quadratic(including GCF) and working with equivalent forms to determine features of the function. | |
SUMMATIVE Assessment | ||
Year 2 Module 3
Pacing 15 days
Task(s) | Outcome | Assessment |
3.5 – 3.10 | The Quadratic Formula, flexibly applying the different strategies for solving quadratic functions. (Emphasis of real/non-real complex numbers) | |
SUMMATIVE Assessment | ||
Year 2 Module 4
Pacing 12 days (module is broken up due to Thanksgiving)
Task(s) | Outcome | Assessment |
4.1 – 4.4 | Piecewise Functions, key features of a graph. Transformations are emphasized as well. | |
4.7 | Culminating review (skip inverse problems from RSG) | |
SUMMATIVE Assessment | ||
Year 3 Module 1
Pacing 12 days (Finish before Winter Break!)
Task(s) | Outcome | Assessment |
1.1 – 1.3 | Developing the concept of an inverse function with linear, quadratic and exponentials | |
FORMATIVE Assessment | ||
1.4-1.5 | Formalize the notation of the inverse and use a variety of representations to flexibly apply the concept of an inverse. | |
SUMMATIVE Assessment | ||
Year 3 Module 2
Pacing 14 days (Finish before end of 1st Semester)
Task(s) | Outcome | Assessment |
2.1 – 2.5 | Logarithmic Properties, graphs, intro to solving | |
2.8H Solving Logs *Modified to Exclude Natural Logs | Formalize Solving Logarithmic Equations | |
SUMMATIVE Assessment | ||
Year 3 Module 3 - Pacing 20 days
Task(s) | Outcome | Assessment |
3.1 – 3.4: Pacing 9 days *For 3.2, #6-8 can be extensions for advanced students. *For 3.4, make sure to do #10 justice to tie back into end behavior from 3.1-3.3 *For 3.4 make sure discuss both the idea of performing operations based on the values of the function, AND finding each function and performing the operations to find the resultant function. | Understand the End Behavior of functions, determining which functions are increasing faster. Add, subtract multiply polynomials. | Between 3.4 and 3.5 |
FORMATIVE Assessment | ||
3.5-3.8: Pacing 11 days *For 3.5 Skip Part II, Binomial Expansion | ||
SUMMATIVE Assessment | ||
Year 3 Module 4 - Pacing 15 days
Task(s) | Outcome | Assessment |
4.1 – 4.3: Pacing 7 days *Stress the why the operations and simplification with fractions work *Jigsaw Part I of 4.2, make public record of results. | Features of the function, asymptotes, roots, end-behavior. Operations with rational expressions. Solving rational equations. | |
FORMATIVE Assessment | ||
4.4-4.7: Pacing 8 days *4.5 graphing app is very useful, can use the functions from 4.4 to help with this process. *4.7 as needed for more fluency/review before assessment. | End behavior asymptote, flexibility in finding features of the rational curve | |
SUMMATIVE Assessment | ||
Year 3 Module 5/6 - Pacing 33 days
Task(s) | Outcome | Assessment |
5.5-5.6: Pacing 4 days *In 5.6 only do Problems 1 and 2. | Review Trig and 30-60-90 and 45-45-90 triangle side lengths. | |
FORMATIVE Assessment | ||
6.1-6.5 Pacing 11 days | ||
FORMATIVE Assessment | ||
6.6-6.9 Pacing 10 days | ||
FORMATIVE Assessment | ||
6.10-6.12 Pacing 8 days | ||
SUMMATIVE Assessment | ||
Year 3 Module 8 - Pacing 16 days
Task(s) | Outcome | Assessment |
8.1-8.4 Pacing 9 days *In 5.6 only do Problems 1 and 2. | Normal Distribution | |
FORMATIVE Assessment | ||
8.5-8.7 Pacing 7 days | Random Sampling | |
SUMMATIVE Assessment | ||