Close Reading for Math

Close Reading for Math is a critical step in problem solving. This workshop helps teachers connect the learning from ELA to Math. We start with a real world problem and find the math in it through 5 different strategies that promote critical thinking in math. These strategies help students understand what operation they need to do instead of looking for key words!
The 5 strategies are:
Cube It!
Say Mean Matter
K-N-W-S
Read it Again, and Again, and Again
Guided Solving

Handouts

Algebraic Reasoning All Operations

 

 

Algebraic Reasoning with all operations is a fun unit to teach!  We will be teaching one and two step problem solving with the whole gang of strategies- number lines, strip diagrams, equations, arrays, area models and tables.  Thankfully these are not new!  In this unit students begin to solve more complex problems.  They require multiple operations and math reasoning comes into play.  Students will really need practice and lots of paper to draw, make models and use strategies!

A few things are new to students in this unit- 3.5E number pairs in a table (a separate post is here about this topic), 3.6D Decomposing to find area, and 3.8B problem solving using a graph or table.

Area Challenge- Click for FREE activity

When teaching 3.6D, focus on finding the rectangle and relate it to the area model. A great way to start is by doing a math huddle.  This year we are trying this one. We are using the one on the right, but have the one on the left just in case the groups get really stuck! Give the kids the problem on the first day of instruction- without teaching them how to do it!  Let them use what they know about area from the previous units to come up with a strategy.  Let them share what they are doing!

 

 

 

 

This unit is packed with activities to make learning fun!  It even has a digital breakout for the end of the unit review!

 

If you want your weekends back- no time spent writing lesson plans and hunting activities that are aligned to the TEKS- click the image below!

Complete Lesson Plans for Algebraic Reasoning

2 Dimensional and 3 Dimensional Figures

This unit is a big one!  The TEK is: classify and sort two- and three-dimensional figures, including cones, cylinders, spheres, triangular and rectangular prisms, and cubes, based on attributes using formal geometric language.

The 3D is not too bad, but understanding the 2D is kinda crazy!   In second grade they classified based on number of sides.  They learned to count the sides and name the figure.  This year, they will be looking at new attributes- the side length, sides that are equal distance apart opposite angles that are congruent and square corners.  This is the year students learn about equilateral, isosceles and scalene triangles.  They learn about the attributes of quadrilaterals- parallelograms, rhombuses, trapezoids, rectangles and squares.  They learn about the attributes that help classify these shapes.  It is important to teach students to identify shapes by their attributes and not just by recognizing the shape.

Guided Math Unit Planning

Unit planning is a task!

One of the things I saw teachers struggling with is what to teach on which day!  I think that is the struggle for all of us.  When you get a list of TEKS and a set number of days it is easy to feel overwhelmed.  I want to share how I plan for a unit.

 

  1. The first step is to decide what you want the students to learn.  I start with a 5 column chart. (See sample - click on picture for link to Learning Target form) This chart helps me to decide what I want the students to learn.  I break the TEKS into small chunks. I only include one verb and one piece of content.  For example:  If the TEKS is 3.4(A) solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction, then I would write 9 learning targets.  I would not expect to have 9 days to teach this TEK, but there are 9 skills a student needs to be able to do in this TEK:
    1. solve with fluency one-step  problems involving addition  within 1,000 using strategies based on place value.
    2. solve with fluency one-step  problems involving addition  within 1,000 using strategies based on  properties of operations
    3. solve with fluency one-step  problems involving addition  within 1,000 using strategies based on the relationship between addition and subtraction
    4. solve with fluency one-step  problems involving  subtraction within 1,000 using strategies based on place value
    5. solve with fluency one-step  problems involving  subtraction within 1,000 using strategies based on properties of operations
    6. solve with fluency one-step  problems involving  subtraction within 1,000 using strategies based on the relationship between addition and subtraction
    7. solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value
    8. solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on properties of operations
    9. solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on the relationship between addition and subtraction

 

 

 

The next step is to decide how I will know if the student can do the skill.   I look to see how it is tested on STAAR. (STAAR is the Texas state assessment.)   I make sure ALL of the skills listed in the TEKS are written down. I use this information to create my unit test and daily exit tickets.  Then I create an exit ticket for each learning target.

The third step is to plan for intervention.  I try to think of all the activities and strategies I know that might help if a student doesn't understand the learning target.  I make these notes in the third column.

Next, I plan for enrichment.  I look at the standards that are coming up that are related to this TEK or look at the next grade level for the connected skill.  I then try to think of at least one thing for each learning target that will grow the math understanding for the kids who already get it.

Now I can start to put things on the calendar!  I block of the number of days I have to teach and then look for learning targets that go together and put those on the calendar.  In the example above, I would put Learning Target 1 and 3 together.  If you have other TEKS done as learning targets you will find that you can teach multiple parts of TEKS on the same day.

After I get the learning targets on the calendar, I decide how my whole class teach time will go.  I have a list of different ways to teach durning whole class teach time from Laney Sammon's book: Guided Math: A Framework for Mathematics Instruction. (If you haven't read this book, I highly encourage you to!  It has changed the way I teach Math!) I try to vary my instruction.  This keeps me from defaulting to the mini-lesson.  I want the kids to do more work than me!

Next, I plan for Guided Math.  I find hands-on activities that students can do at the small group table.  I want them to be quick and action packed!

Finally, I write the daily plans!  Most of the decision making is done.  I look at the exit ticket for that day and make sure I am on track with my teaching!

Once the unit planning is done, I know I will stay focused and have ways to track student progress.  I use the learning target sheet to create a student tracking form so kids can see where they are! These are great to use during parent conferences!  I also have plenty of data to take to RTI meetings!

I usually map two or three units at a time so I don't get behind!

Guide Math Workshop

Many teachers call their math block Guided Math, but really they are doing Balanced Numeracy!  Balanced Numeracy consists of Whole Class and Small Group Instruction.

Whole class instruction is more than a teacher directed lesson.  It is a critical, very short, focused time that gives kids direct instruction, and time to talk about their strategies through math talks.

Small Group Instruction is often called Guided Math.  This is a longer period of time working with kids on their skill level.

Contact Me for more information on Implementing Guided Math at your campus!

Interpreting the Remainder- What do we do with the leftover?

Interpreting the Remainder is a new skill for fourth graders.  They are learning to divide 4 digits by 1 digits using area models, arrays, strip diagrams and the standard algorithm.   Last week while planning with some teachers, we really with  how to teach this to kids.  We know that kids struggle with the standard algorithm and I am so tired of hearing about that dirty monkey that smells bad!  I want to teach math not tricks!  So we made a plan!

We decided we would start with an array using smaller numbers- it didn’t make sense to have the kids make 1,234 dots on the page and then try to divide them into groups.  We would start small and practice making groups.

Then we would move to the partial quotient method (using place value blocks for concrete) and add the area model for a visual.  Below is a video explaining what we are doing.

Video

The next step is to teach about what is left over.  We started with problems that asked kids to use the remainder as the answer.  We wanted to have the remainder mean something.  We made an anchor chart and sorted some problems into two categories- Use it or Not Use it.  We worked some of the problems together and then students worked the rest on their own.  we pulled small group to work with kids we knew were struggling and helped them get stronger with the process.  We repeated this for the next two days before playing a whole class game of Quiz Quiz Trade with task cards.  (You can find the product here.)

Here are our exit tickets we used on each day to assess how the kids were doing!

Use It, Ignore It, Round It